λ
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Atlas › Integer Profiles › Node 36,908,790

36,908,790

2 × 3 × 5 × 23 × 149 × 359
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 149 × 359
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 93,312,000
Proper Divisor Sum 56,403,210
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36908789 ← → #36908803

Radix Representation

Decimal 36908790
Binary 10001100110010111011110110 (26 bits)
Octal 0o214627366
Hexadecimal 0x2332EF6

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 30 46 69 115 138 149 230 298 345 359 447 690 718 745 894 1,077 1,490 1,795 2,154 2,235 3,427 3,590 4,470 5,385 6,854 8,257 10,281 10,770 16,514 17,135 20,562 24,771 34,270 41,285 49,542 51,405 53,491 82,570 102,810 106,982 123,855 160,473 247,710 267,455 320,946 534,910 802,365 1,230,293 1,604,730 2,460,586 3,690,879 6,151,465

Collatz Trajectory (258 steps to reach 1)

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

36,908,790 18,454,395 55,363,186 27,681,593 83,044,780 41,522,390 20,761,195 62,283,586 31,141,793 93,425,380 46,712,690 23,356,345 70,069,036 35,034,518 17,517,259 52,551,778 26,275,889 78,827,668 39,413,834 19,706,917 59,120,752 29,560,376 14,780,188 7,390,094 3,695,047 11,085,142 5,542,571 16,627,714 8,313,857 24,941,572 12,470,786 6,235,393 18,706,180 9,353,090 4,676,545 14,029,636 7,014,818 3,507,409 10,522,228 5,261,114 2,630,557 7,891,672 3,945,836 1,972,918 986,459 2,959,378 1,479,689 4,439,068 2,219,534 1,109,767 3,329,302 1,664,651 4,993,954 2,496,977 7,490,932 3,745,466 1,872,733 5,618,200 2,809,100 1,404,550

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