λ
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Atlas › Integer Profiles › Node 44,924,490

44,924,490

2 × 33 × 5 × 13 × 12799
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13 × 12799
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 129,024,000
Proper Divisor Sum 84,099,510
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #44924461 ← → #44924501

Radix Representation

Decimal 44924490
Binary 10101011010111111001001010 (26 bits)
Octal 0o253277112
Hexadecimal 0x2AD7E4A

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1,170 1,755 3,510 12,799 25,598 38,397 63,995 76,794 115,191 127,990 166,387 191,985 230,382 332,774 345,573 383,970 499,161 575,955 691,146 831,935 998,322 1,151,910 1,497,483 1,663,870 1,727,865 2,495,805 2,994,966 3,455,730 4,492,449 4,991,610 7,487,415

Collatz Trajectory (160 steps to reach 1)

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

44,924,490 22,462,245 67,386,736 33,693,368 16,846,684 8,423,342 4,211,671 12,635,014 6,317,507 18,952,522 9,476,261 28,428,784 14,214,392 7,107,196 3,553,598 1,776,799 5,330,398 2,665,199 7,995,598 3,997,799 11,993,398 5,996,699 17,990,098 8,995,049 26,985,148 13,492,574 6,746,287 20,238,862 10,119,431 30,358,294 15,179,147 45,537,442 22,768,721 68,306,164 34,153,082 17,076,541 51,229,624 25,614,812 12,807,406 6,403,703 19,211,110 9,605,555 28,816,666 14,408,333 43,225,000 21,612,500 10,806,250 5,403,125 16,209,376 8,104,688 4,052,344 2,026,172 1,013,086 506,543 1,519,630 759,815 2,279,446 1,139,723 3,419,170 1,709,585

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