1,558,928

2⁴ × 7 × 31 × 449

1,558,928 has the prime decomposition 2^4 × 7 × 31 × 449. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 31 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,571,200

Proper Divisor Sum 2,012,272

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1558919 ← → #1558933

Radix Representation

Decimal	1558928
Binary	101111100100110010000 (21 bits)
Octal	0o5744620
Hexadecimal	0x17C990

Divisor Catalog (40)

1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 449 496 868 898 1,736 1,796 3,143 3,472 3,592 6,286 7,184 12,572 13,919 25,144 27,838 50,288 55,676 97,433 111,352 194,866 222,704 389,732 779,464 1,558,928

Collatz Trajectory (88 steps to reach 1)

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

1,558,928 779,464 389,732 194,866 97,433 292,300 146,150 73,075 219,226 109,613 328,840 164,420 82,210 41,105 123,316 61,658 30,829 92,488 46,244 23,122 11,561 34,684 17,342 8,671 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 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649

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