52,047,574

2 × 17 × 19 × 23 × 31 × 113

52,047,574 factors as 2 × 17 × 19 × 23 × 31 × 113. Its 64 positive divisors give a proper-divisor sum of 42,508,586, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 23 × 31 × 113

Distinct Prime Factors 6

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 94,556,160

Proper Divisor Sum 42,508,586

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #52047563 ← → #52047599

Radix Representation

Decimal	52047574
Binary	11000110100010111011010110 (26 bits)
Octal	0o306427326
Hexadecimal	0x31A2ED6

Divisor Catalog (60 of 64)

1 2 17 19 23 31 34 38 46 62 113 226 323 391 437 527 589 646 713 782 874 1,054 1,178 1,426 1,921 2,147 2,599 3,503 3,842 4,294 5,198 7,006 7,429 10,013 12,121 13,547 14,858 20,026 24,242 27,094 36,499 44,183 49,381 59,551 66,557 72,998 80,569 88,366 98,762 119,102 133,114 161,138 230,299 460,598 839,477 1,131,469 1,369,673 1,530,811 1,678,954 2,262,938

Collatz Trajectory (243 steps to reach 1)

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

52,047,574 26,023,787 78,071,362 39,035,681 117,107,044 58,553,522 29,276,761 87,830,284 43,915,142 21,957,571 65,872,714 32,936,357 98,809,072 49,404,536 24,702,268 12,351,134 6,175,567 18,526,702 9,263,351 27,790,054 13,895,027 41,685,082 20,842,541 62,527,624 31,263,812 15,631,906 7,815,953 23,447,860 11,723,930 5,861,965 17,585,896 8,792,948 4,396,474 2,198,237 6,594,712 3,297,356 1,648,678 824,339 2,473,018 1,236,509 3,709,528 1,854,764 927,382 463,691 1,391,074 695,537 2,086,612 1,043,306 521,653 1,564,960 782,480 391,240 195,620 97,810 48,905 146,716 73,358 36,679 110,038 55,019

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