52,577,236

2² × 521 × 25229

52,577,236 factors as 2^2 × 521 × 25229. Its 12 positive divisors give a proper-divisor sum of 39,613,184, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 521 × 25229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 92,190,420

Proper Divisor Sum 39,613,184

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #52577233 ← → #52577251

Radix Representation

Decimal	52577236
Binary	11001000100100001111010100 (26 bits)
Octal	0o310441724
Hexadecimal	0x32243D4

Divisor Catalog (12)

1 2 4 521 1,042 2,084 25,229 50,458 100,916 13,144,309 26,288,618 52,577,236

Collatz Trajectory (88 steps to reach 1)

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

52,577,236 26,288,618 13,144,309 39,432,928 19,716,464 9,858,232 4,929,116 2,464,558 1,232,279 3,696,838 1,848,419 5,545,258 2,772,629 8,317,888 4,158,944 2,079,472 1,039,736 519,868 259,934 129,967 389,902 194,951 584,854 292,427 877,282 438,641 1,315,924 657,962 328,981 986,944 493,472 246,736 123,368 61,684 30,842 15,421 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43

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