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Atlas › Integer Profiles › Node 36,976,004

36,976,004

22 × 13 × 61 × 11657
Deficient Even Composite

36,976,004 factors as 2^2 × 13 × 61 × 11657. Its 24 positive divisors give a proper-divisor sum of 33,858,004, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 61 × 11657
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 70,834,008
Proper Divisor Sum 33,858,004
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36975979 ← → #36976007

Radix Representation

Decimal 36976004
Binary 10001101000011010110000100 (26 bits)
Octal 0o215032604
Hexadecimal 0x2343584

Divisor Catalog (24)

1 2 4 13 26 52 61 122 244 793 1,586 3,172 11,657 23,314 46,628 151,541 303,082 606,164 711,077 1,422,154 2,844,308 9,244,001 18,488,002 36,976,004

Collatz Trajectory (165 steps to reach 1)

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

36,976,004 18,488,002 9,244,001 27,732,004 13,866,002 6,933,001 20,799,004 10,399,502 5,199,751 15,599,254 7,799,627 23,398,882 11,699,441 35,098,324 17,549,162 8,774,581 26,323,744 13,161,872 6,580,936 3,290,468 1,645,234 822,617 2,467,852 1,233,926 616,963 1,850,890 925,445 2,776,336 1,388,168 694,084 347,042 173,521 520,564 260,282 130,141 390,424 195,212 97,606 48,803 146,410 73,205 219,616 109,808 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094

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