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Atlas › Integer Profiles › Node 36,979,239

36,979,239

3 × 11 × 23 × 83 × 587
Deficient Odd Composite

36,979,239 factors as 3 × 11 × 23 × 83 × 587. Its 32 positive divisors give a proper-divisor sum of 19,920,345, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3 × 11 × 23 × 83 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,899,584
Proper Divisor Sum 19,920,345
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36979219 ← → #36979247

Radix Representation

Decimal 36979239
Binary 10001101000100001000100111 (26 bits)
Octal 0o215041047
Hexadecimal 0x2344227

Divisor Catalog (32)

1 3 11 23 33 69 83 249 253 587 759 913 1,761 1,909 2,739 5,727 6,457 13,501 19,371 20,999 40,503 48,721 62,997 146,163 148,511 445,533 535,931 1,120,583 1,607,793 3,361,749 12,326,413 36,979,239

Collatz Trajectory (103 steps to reach 1)

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

36,979,239 110,937,718 55,468,859 166,406,578 83,203,289 249,609,868 124,804,934 62,402,467 187,207,402 93,603,701 280,811,104 140,405,552 70,202,776 35,101,388 17,550,694 8,775,347 26,326,042 13,163,021 39,489,064 19,744,532 9,872,266 4,936,133 14,808,400 7,404,200 3,702,100 1,851,050 925,525 2,776,576 1,388,288 694,144 347,072 173,536 86,768 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517

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