52,007,397

3 × 13 × 397 × 3359

52,007,397 factors as 3 × 13 × 397 × 3359. Its 16 positive divisors give a proper-divisor sum of 22,880,283, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3 × 13 × 397 × 3359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 74,887,680

Proper Divisor Sum 22,880,283

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #52007387 ← → #52007413

Radix Representation

Decimal	52007397
Binary	11000110011001000111100101 (26 bits)
Octal	0o306310745
Hexadecimal	0x31991E5

Divisor Catalog (16)

1 3 13 39 397 1,191 3,359 5,161 10,077 15,483 43,667 131,001 1,333,523 4,000,569 17,335,799 52,007,397

Collatz Trajectory (119 steps to reach 1)

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

52,007,397 156,022,192 78,011,096 39,005,548 19,502,774 9,751,387 29,254,162 14,627,081 43,881,244 21,940,622 10,970,311 32,910,934 16,455,467 49,366,402 24,683,201 74,049,604 37,024,802 18,512,401 55,537,204 27,768,602 13,884,301 41,652,904 20,826,452 10,413,226 5,206,613 15,619,840 7,809,920 3,904,960 1,952,480 976,240 488,120 244,060 122,030 61,015 183,046 91,523 274,570 137,285 411,856 205,928 102,964 51,482 25,741 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529

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