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961,480

23 × 5 × 13 × 432
Abundant Even Composite

961,480 factors as 2^3 × 5 × 13 × 43^2. Its 48 positive divisors give a proper-divisor sum of 1,423,700, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 43^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,385,180
Proper Divisor Sum 1,423,700
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #961459 ← → #961487

Radix Representation

Decimal 961480
Binary 11101010101111001000 (20 bits)
Octal 0o3525710
Hexadecimal 0xEABC8

Divisor Catalog (48)

1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1,118 1,720 1,849 2,236 2,795 3,698 4,472 5,590 7,396 9,245 11,180 14,792 18,490 22,360 24,037 36,980 48,074 73,960 96,148 120,185 192,296 240,370 480,740 961,480

Collatz Trajectory (170 steps to reach 1)

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

961,480 480,740 240,370 120,185 360,556 180,278 90,139 270,418 135,209 405,628 202,814 101,407 304,222 152,111 456,334 228,167 684,502 342,251 1,026,754 513,377 1,540,132 770,066 385,033 1,155,100 577,550 288,775 866,326 433,163 1,299,490 649,745 1,949,236 974,618 487,309 1,461,928 730,964 365,482 182,741 548,224 274,112 137,056 68,528 34,264 17,132 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101

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