λ
Integer Codex

1,490,730

2 × 3 × 5 × 17 × 37 × 79
Abundant Even Composite

For 1,490,730, the 64 positive divisors have a total of 3,939,840. Removing 1,490,730 leaves 2,449,110, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 37 × 79
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,939,840
Proper Divisor Sum 2,449,110
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1490729 ← → #1490737

Radix Representation

Decimal 1490730
Binary 101101011111100101010 (21 bits)
Octal 0o5537452
Hexadecimal 0x16BF2A

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 30 34 37 51 74 79 85 102 111 158 170 185 222 237 255 370 395 474 510 555 629 790 1,110 1,185 1,258 1,343 1,887 2,370 2,686 2,923 3,145 3,774 4,029 5,846 6,290 6,715 8,058 8,769 9,435 13,430 14,615 17,538 18,870 20,145 29,230 40,290 43,845 49,691 87,690 99,382 149,073 248,455

Collatz Trajectory (119 steps to reach 1)

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

1,490,730 745,365 2,236,096 1,118,048 559,024 279,512 139,756 69,878 34,939 104,818 52,409 157,228 78,614 39,307 117,922 58,961 176,884 88,442 44,221 132,664 66,332 33,166 16,583 49,750 24,875 74,626 37,313 111,940 55,970 27,985 83,956 41,978 20,989 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744

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