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32,492,480

26 × 5 × 59 × 1721
Abundant Even Composite

32,492,480 factors as 2^6 × 5 × 59 × 1721. Its 56 positive divisors give a proper-divisor sum of 46,237,360, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 59 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 78,729,840
Proper Divisor Sum 46,237,360
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #32492479 ← → #32492497

Radix Representation

Decimal 32492480
Binary 1111011111100101111000000 (25 bits)
Octal 0o173745700
Hexadecimal 0x1EFCBC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1,180 1,721 1,888 2,360 3,442 3,776 4,720 6,884 8,605 9,440 13,768 17,210 18,880 27,536 34,420 55,072 68,840 101,539 110,144 137,680 203,078 275,360 406,156 507,695 550,720 812,312 1,015,390 1,624,624 2,030,780 3,249,248 4,061,560 6,498,496 8,123,120 16,246,240 32,492,480

Collatz Trajectory (139 steps to reach 1)

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

32,492,480 16,246,240 8,123,120 4,061,560 2,030,780 1,015,390 507,695 1,523,086 761,543 2,284,630 1,142,315 3,426,946 1,713,473 5,140,420 2,570,210 1,285,105 3,855,316 1,927,658 963,829 2,891,488 1,445,744 722,872 361,436 180,718 90,359 271,078 135,539 406,618 203,309 609,928 304,964 152,482 76,241 228,724 114,362 57,181 171,544 85,772 42,886 21,443 64,330 32,165 96,496 48,248 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726

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