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Atlas › Integer Profiles › Node 52,636,012

52,636,012

22 × 11 × 13 × 17 × 5413
Abundant Even Composite

52,636,012 factors as 2^2 × 11 × 13 × 17 × 5413. Its 48 positive divisors give a proper-divisor sum of 61,967,540, so this integer is abundant. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 17 × 5413
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 114,603,552
Proper Divisor Sum 61,967,540
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #52635953 ← → #52636043

Radix Representation

Decimal 52636012
Binary 11001000110010100101101100 (26 bits)
Octal 0o310624554
Hexadecimal 0x323296C

Divisor Catalog (48)

1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 374 442 572 748 884 2,431 4,862 5,413 9,724 10,826 21,652 59,543 70,369 92,021 119,086 140,738 184,042 238,172 281,476 368,084 774,059 1,012,231 1,196,273 1,548,118 2,024,462 2,392,546 3,096,236 4,048,924 4,785,092 13,159,003 26,318,006 52,636,012

Collatz Trajectory (256 steps to reach 1)

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

52,636,012 26,318,006 13,159,003 39,477,010 19,738,505 59,215,516 29,607,758 14,803,879 44,411,638 22,205,819 66,617,458 33,308,729 99,926,188 49,963,094 24,981,547 74,944,642 37,472,321 112,416,964 56,208,482 28,104,241 84,312,724 42,156,362 21,078,181 63,234,544 31,617,272 15,808,636 7,904,318 3,952,159 11,856,478 5,928,239 17,784,718 8,892,359 26,677,078 13,338,539 40,015,618 20,007,809 60,023,428 30,011,714 15,005,857 45,017,572 22,508,786 11,254,393 33,763,180 16,881,590 8,440,795 25,322,386 12,661,193 37,983,580 18,991,790 9,495,895 28,487,686 14,243,843 42,731,530 21,365,765 64,097,296 32,048,648 16,024,324 8,012,162 4,006,081 12,018,244

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