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Atlas › Integer Profiles › Node 46,717,090

46,717,090

2 × 5 × 72 × 67 × 1423
Abundant Even Composite

46,717,090 factors as 2 × 5 × 7^2 × 67 × 1423. Its 48 positive divisors give a proper-divisor sum of 52,632,542, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 67 × 1423
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,349,632
Proper Divisor Sum 52,632,542
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #46717087 ← → #46717109

Radix Representation

Decimal 46717090
Binary 10110010001101100010100010 (26 bits)
Octal 0o262154242
Hexadecimal 0x2C8D8A2

Divisor Catalog (48)

1 2 5 7 10 14 35 49 67 70 98 134 245 335 469 490 670 938 1,423 2,345 2,846 3,283 4,690 6,566 7,115 9,961 14,230 16,415 19,922 32,830 49,805 69,727 95,341 99,610 139,454 190,682 348,635 476,705 667,387 697,270 953,410 1,334,774 3,336,935 4,671,709 6,673,870 9,343,418 23,358,545 46,717,090

Collatz Trajectory (111 steps to reach 1)

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

46,717,090 23,358,545 70,075,636 35,037,818 17,518,909 52,556,728 26,278,364 13,139,182 6,569,591 19,708,774 9,854,387 29,563,162 14,781,581 44,344,744 22,172,372 11,086,186 5,543,093 16,629,280 8,314,640 4,157,320 2,078,660 1,039,330 519,665 1,558,996 779,498 389,749 1,169,248 584,624 292,312 146,156 73,078 36,539 109,618 54,809 164,428 82,214 41,107 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390

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