52,523,234

2 × 17 × 29 × 53269

52,523,234 factors as 2 × 17 × 29 × 53269. Its 16 positive divisors give a proper-divisor sum of 33,774,166, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2 × 17 × 29 × 53269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 86,297,400

Proper Divisor Sum 33,774,166

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #52523231 ← → #52523267

Radix Representation

Decimal	52523234
Binary	11001000010111000011100010 (26 bits)
Octal	0o310270342
Hexadecimal	0x32170E2

Divisor Catalog (16)

1 2 17 29 34 58 493 986 53,269 106,538 905,573 1,544,801 1,811,146 3,089,602 26,261,617 52,523,234

Collatz Trajectory (274 steps to reach 1)

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

52,523,234 26,261,617 78,784,852 39,392,426 19,696,213 59,088,640 29,544,320 14,772,160 7,386,080 3,693,040 1,846,520 923,260 461,630 230,815 692,446 346,223 1,038,670 519,335 1,558,006 779,003 2,337,010 1,168,505 3,505,516 1,752,758 876,379 2,629,138 1,314,569 3,943,708 1,971,854 985,927 2,957,782 1,478,891 4,436,674 2,218,337 6,655,012 3,327,506 1,663,753 4,991,260 2,495,630 1,247,815 3,743,446 1,871,723 5,615,170 2,807,585 8,422,756 4,211,378 2,105,689 6,317,068 3,158,534 1,579,267 4,737,802 2,368,901 7,106,704 3,553,352 1,776,676 888,338 444,169 1,332,508 666,254 333,127

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