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Atlas › Integer Profiles › Node 36,930,873

36,930,873

3 × 7 × 41 × 59 × 727
Deficient Odd Composite

36,930,873 factors as 3 × 7 × 41 × 59 × 727. Its 32 positive divisors give a proper-divisor sum of 21,775,047, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 59 × 727
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,705,920
Proper Divisor Sum 21,775,047
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36930823 ← → #36930899

Radix Representation

Decimal 36930873
Binary 10001100111000010100111001 (26 bits)
Octal 0o214702471
Hexadecimal 0x2338539

Divisor Catalog (32)

1 3 7 21 41 59 123 177 287 413 727 861 1,239 2,181 2,419 5,089 7,257 15,267 16,933 29,807 42,893 50,799 89,421 128,679 208,649 300,251 625,947 900,753 1,758,613 5,275,839 12,310,291 36,930,873

Collatz Trajectory (165 steps to reach 1)

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

36,930,873 110,792,620 55,396,310 27,698,155 83,094,466 41,547,233 124,641,700 62,320,850 31,160,425 93,481,276 46,740,638 23,370,319 70,110,958 35,055,479 105,166,438 52,583,219 157,749,658 78,874,829 236,624,488 118,312,244 59,156,122 29,578,061 88,734,184 44,367,092 22,183,546 11,091,773 33,275,320 16,637,660 8,318,830 4,159,415 12,478,246 6,239,123 18,717,370 9,358,685 28,076,056 14,038,028 7,019,014 3,509,507 10,528,522 5,264,261 15,792,784 7,896,392 3,948,196 1,974,098 987,049 2,961,148 1,480,574 740,287 2,220,862 1,110,431 3,331,294 1,665,647 4,996,942 2,498,471 7,495,414 3,747,707 11,243,122 5,621,561 16,864,684 8,432,342

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