λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,592,799

52,592,799

3 × 7 × 37 × 113 × 599
Deficient Odd Composite

52,592,799 factors as 3 × 7 × 37 × 113 × 599. Its 32 positive divisors give a proper-divisor sum of 30,581,601, so this integer is deficient. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 113 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,174,400
Proper Divisor Sum 30,581,601
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #52592773 ← → #52592807

Radix Representation

Decimal 52592799
Binary 11001000101000000010011111 (26 bits)
Octal 0o310500237
Hexadecimal 0x322809F

Divisor Catalog (32)

1 3 7 21 37 111 113 259 339 599 777 791 1,797 2,373 4,181 4,193 12,543 12,579 22,163 29,267 66,489 67,687 87,801 155,141 203,061 465,423 473,809 1,421,427 2,504,419 7,513,257 17,530,933 52,592,799

Collatz Trajectory (318 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

52,592,799 157,778,398 78,889,199 236,667,598 118,333,799 355,001,398 177,500,699 532,502,098 266,251,049 798,753,148 399,376,574 199,688,287 599,064,862 299,532,431 898,597,294 449,298,647 1,347,895,942 673,947,971 2,021,843,914 1,010,921,957 3,032,765,872 1,516,382,936 758,191,468 379,095,734 189,547,867 568,643,602 284,321,801 852,965,404 426,482,702 213,241,351 639,724,054 319,862,027 959,586,082 479,793,041 1,439,379,124 719,689,562 359,844,781 1,079,534,344 539,767,172 269,883,586 134,941,793 404,825,380 202,412,690 101,206,345 303,619,036 151,809,518 75,904,759 227,714,278 113,857,139 341,571,418 170,785,709 512,357,128 256,178,564 128,089,282 64,044,641 192,133,924 96,066,962 48,033,481 144,100,444 72,050,222

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #52,592,798 Browse Full Index Next Integer #52,592,800 →