7,437,652

2² × 181 × 10273

7,437,652 factors as 2^2 × 181 × 10273. Its 12 positive divisors give a proper-divisor sum of 5,651,424, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 181 × 10273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,089,076

Proper Divisor Sum 5,651,424

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7437637 ← → #7437673

Radix Representation

Decimal	7437652
Binary	11100010111110101010100 (23 bits)
Octal	0o34276524
Hexadecimal	0x717D54

Divisor Catalog (12)

1 2 4 181 362 724 10,273 20,546 41,092 1,859,413 3,718,826 7,437,652

Collatz Trajectory (111 steps to reach 1)

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

7,437,652 3,718,826 1,859,413 5,578,240 2,789,120 1,394,560 697,280 348,640 174,320 87,160 43,580 21,790 10,895 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865

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