λ
Ratio Atlas

36,980,839

72 × 754711
Deficient Odd Composite

36,980,839 factors as 7^2 × 754711. Its 6 positive divisors give a proper-divisor sum of 6,037,745, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 7^2 × 754711
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 43,018,584
Proper Divisor Sum 6,037,745
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #36980837 ← → #36980843

Radix Representation

Decimal 36980839
Binary 10001101000100100001100111 (26 bits)
Octal 0o215044147
Hexadecimal 0x2344867

Divisor Catalog (6)

Collatz Trajectory (134 steps to reach 1)

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

36,980,839 110,942,518 55,471,259 166,413,778 83,206,889 249,620,668 124,810,334 62,405,167 187,215,502 93,607,751 280,823,254 140,411,627 421,234,882 210,617,441 631,852,324 315,926,162 157,963,081 473,889,244 236,944,622 118,472,311 355,416,934 177,708,467 533,125,402 266,562,701 799,688,104 399,844,052 199,922,026 99,961,013 299,883,040 149,941,520 74,970,760 37,485,380 18,742,690 9,371,345 28,114,036 14,057,018 7,028,509 21,085,528 10,542,764 5,271,382 2,635,691 7,907,074 3,953,537 11,860,612 5,930,306 2,965,153 8,895,460 4,447,730 2,223,865 6,671,596 3,335,798 1,667,899 5,003,698 2,501,849 7,505,548 3,752,774 1,876,387 5,629,162 2,814,581 8,443,744

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