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Atlas › Integer Profiles › Node 36,979,722

36,979,722

2 × 32 × 13 × 23 × 6871
Abundant Even Composite

36,979,722 factors as 2 × 3^2 × 13 × 23 × 6871. Its 48 positive divisors give a proper-divisor sum of 53,070,966, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 23 × 6871
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 90,050,688
Proper Divisor Sum 53,070,966
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36979721 ← → #36979739

Radix Representation

Decimal 36979722
Binary 10001101000100010000001010 (26 bits)
Octal 0o215042012
Hexadecimal 0x234440A

Divisor Catalog (48)

1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1,794 2,691 5,382 6,871 13,742 20,613 41,226 61,839 89,323 123,678 158,033 178,646 267,969 316,066 474,099 535,938 803,907 948,198 1,422,297 1,607,814 2,054,429 2,844,594 4,108,858 6,163,287 12,326,574 18,489,861 36,979,722

Collatz Trajectory (152 steps to reach 1)

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

36,979,722 18,489,861 55,469,584 27,734,792 13,867,396 6,933,698 3,466,849 10,400,548 5,200,274 2,600,137 7,800,412 3,900,206 1,950,103 5,850,310 2,925,155 8,775,466 4,387,733 13,163,200 6,581,600 3,290,800 1,645,400 822,700 411,350 205,675 617,026 308,513 925,540 462,770 231,385 694,156 347,078 173,539 520,618 260,309 780,928 390,464 195,232 97,616 48,808 24,404 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

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