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Atlas › Integer Profiles › Node 36,930,392

36,930,392

23 × 17 × 383 × 709
Deficient Even Composite

36,930,392 factors as 2^3 × 17 × 383 × 709. Its 32 positive divisors give a proper-divisor sum of 36,682,408, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 383 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,612,800
Proper Divisor Sum 36,682,408
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36930389 ← → #36930419

Radix Representation

Decimal 36930392
Binary 10001100111000001101011000 (26 bits)
Octal 0o214701530
Hexadecimal 0x2338358

Divisor Catalog (32)

1 2 4 8 17 34 68 136 383 709 766 1,418 1,532 2,836 3,064 5,672 6,511 12,053 13,022 24,106 26,044 48,212 52,088 96,424 271,547 543,094 1,086,188 2,172,376 4,616,299 9,232,598 18,465,196 36,930,392

Collatz Trajectory (214 steps to reach 1)

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

36,930,392 18,465,196 9,232,598 4,616,299 13,848,898 6,924,449 20,773,348 10,386,674 5,193,337 15,580,012 7,790,006 3,895,003 11,685,010 5,842,505 17,527,516 8,763,758 4,381,879 13,145,638 6,572,819 19,718,458 9,859,229 29,577,688 14,788,844 7,394,422 3,697,211 11,091,634 5,545,817 16,637,452 8,318,726 4,159,363 12,478,090 6,239,045 18,717,136 9,358,568 4,679,284 2,339,642 1,169,821 3,509,464 1,754,732 877,366 438,683 1,316,050 658,025 1,974,076 987,038 493,519 1,480,558 740,279 2,220,838 1,110,419 3,331,258 1,665,629 4,996,888 2,498,444 1,249,222 624,611 1,873,834 936,917 2,810,752 1,405,376

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