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Atlas › Integer Profiles › Node 36,988,425

36,988,425

32 × 52 × 31 × 5303
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 31 × 5303
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 68,400,384
Proper Divisor Sum 31,411,959
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36988423 ← → #36988429

Radix Representation

Decimal 36988425
Binary 10001101000110011000001001 (26 bits)
Octal 0o215063011
Hexadecimal 0x2346609

Divisor Catalog (36)

1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 1,395 2,325 5,303 6,975 15,909 26,515 47,727 79,545 132,575 164,393 238,635 397,725 493,179 821,965 1,193,175 1,479,537 2,465,895 4,109,825 7,397,685 12,329,475 36,988,425

Collatz Trajectory (165 steps to reach 1)

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

36,988,425 110,965,276 55,482,638 27,741,319 83,223,958 41,611,979 124,835,938 62,417,969 187,253,908 93,626,954 46,813,477 140,440,432 70,220,216 35,110,108 17,555,054 8,777,527 26,332,582 13,166,291 39,498,874 19,749,437 59,248,312 29,624,156 14,812,078 7,406,039 22,218,118 11,109,059 33,327,178 16,663,589 49,990,768 24,995,384 12,497,692 6,248,846 3,124,423 9,373,270 4,686,635 14,059,906 7,029,953 21,089,860 10,544,930 5,272,465 15,817,396 7,908,698 3,954,349 11,863,048 5,931,524 2,965,762 1,482,881 4,448,644 2,224,322 1,112,161 3,336,484 1,668,242 834,121 2,502,364 1,251,182 625,591 1,876,774 938,387 2,815,162 1,407,581

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