λ
Ratio Atlas

46,404,875

53 × 11 × 33749
Deficient Odd Composite

46,404,875 factors as 5^3 × 11 × 33749. Its 16 positive divisors give a proper-divisor sum of 16,775,125, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 5^3 × 11 × 33749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 63,180,000
Proper Divisor Sum 16,775,125
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #46404851 ← → #46404881

Radix Representation

Decimal 46404875
Binary 10110001000001010100001011 (26 bits)
Octal 0o261012413
Hexadecimal 0x2C4150B

Divisor Catalog (16)

Collatz Trajectory (155 steps to reach 1)

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

46,404,875 139,214,626 69,607,313 208,821,940 104,410,970 52,205,485 156,616,456 78,308,228 39,154,114 19,577,057 58,731,172 29,365,586 14,682,793 44,048,380 22,024,190 11,012,095 33,036,286 16,518,143 49,554,430 24,777,215 74,331,646 37,165,823 111,497,470 55,748,735 167,246,206 83,623,103 250,869,310 125,434,655 376,303,966 188,151,983 564,455,950 282,227,975 846,683,926 423,341,963 1,270,025,890 635,012,945 1,905,038,836 952,519,418 476,259,709 1,428,779,128 714,389,564 357,194,782 178,597,391 535,792,174 267,896,087 803,688,262 401,844,131 1,205,532,394 602,766,197 1,808,298,592 904,149,296 452,074,648 226,037,324 113,018,662 56,509,331 169,527,994 84,763,997 254,291,992 127,145,996 63,572,998

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