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Atlas › Integer Profiles › Node 1,491,490

1,491,490

2 × 5 × 7 × 11 × 13 × 149
Abundant Even Composite

1,491,490 factors as 2 × 5 × 7 × 11 × 13 × 149. Its 64 positive divisors give a proper-divisor sum of 2,137,310, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 13 × 149
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,628,800
Proper Divisor Sum 2,137,310
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1491449 ← → #1491491

Radix Representation

Decimal 1491490
Binary 101101100001000100010 (21 bits)
Octal 0o5541042
Hexadecimal 0x16C222

Divisor Catalog (60 of 64)

1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 149 154 182 286 298 385 455 715 745 770 910 1,001 1,043 1,430 1,490 1,639 1,937 2,002 2,086 3,278 3,874 5,005 5,215 8,195 9,685 10,010 10,430 11,473 13,559 16,390 19,370 21,307 22,946 27,118 42,614 57,365 67,795 106,535 114,730 135,590 149,149

Collatz Trajectory (119 steps to reach 1)

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

1,491,490 745,745 2,237,236 1,118,618 559,309 1,677,928 838,964 419,482 209,741 629,224 314,612 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771

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