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Atlas › Integer Profiles › Node 36,929,780

36,929,780

22 × 5 × 17 × 47 × 2311
Abundant Even Composite

36,929,780 factors as 2^2 × 5 × 17 × 47 × 2311. Its 48 positive divisors give a proper-divisor sum of 46,968,076, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 47 × 2311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 83,897,856
Proper Divisor Sum 46,968,076
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36929779 ← → #36929813

Radix Representation

Decimal 36929780
Binary 10001100111000000011110100 (26 bits)
Octal 0o214700364
Hexadecimal 0x23380F4

Divisor Catalog (48)

1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1,598 2,311 3,196 3,995 4,622 7,990 9,244 11,555 15,980 23,110 39,287 46,220 78,574 108,617 157,148 196,435 217,234 392,870 434,468 543,085 785,740 1,086,170 1,846,489 2,172,340 3,692,978 7,385,956 9,232,445 18,464,890 36,929,780

Collatz Trajectory (77 steps to reach 1)

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

36,929,780 18,464,890 9,232,445 27,697,336 13,848,668 6,924,334 3,462,167 10,386,502 5,193,251 15,579,754 7,789,877 23,369,632 11,684,816 5,842,408 2,921,204 1,460,602 730,301 2,190,904 1,095,452 547,726 273,863 821,590 410,795 1,232,386 616,193 1,848,580 924,290 462,145 1,386,436 693,218 346,609 1,039,828 519,914 259,957 779,872 389,936 194,968 97,484 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181

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