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Atlas › Integer Profiles › Node 36,939,616

36,939,616

25 × 7 × 37 × 4457
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 37 × 4457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 85,379,616
Proper Divisor Sum 48,440,000
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36939613 ← → #36939641

Radix Representation

Decimal 36939616
Binary 10001100111010011101100000 (26 bits)
Octal 0o214723540
Hexadecimal 0x233A760

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1,036 1,184 2,072 4,144 4,457 8,288 8,914 17,828 31,199 35,656 62,398 71,312 124,796 142,624 164,909 249,592 329,818 499,184 659,636 998,368 1,154,363 1,319,272 2,308,726 2,638,544 4,617,452 5,277,088 9,234,904 18,469,808 36,939,616

Collatz Trajectory (51 steps to reach 1)

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

36,939,616 18,469,808 9,234,904 4,617,452 2,308,726 1,154,363 3,463,090 1,731,545 5,194,636 2,597,318 1,298,659 3,895,978 1,947,989 5,843,968 2,921,984 1,460,992 730,496 365,248 182,624 91,312 45,656 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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