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Atlas › Integer Profiles › Node 3,548,960

3,548,960

25 × 5 × 41 × 541
Abundant Even Composite

3,548,960 factors as 2^5 × 5 × 41 × 541. Its 48 positive divisors give a proper-divisor sum of 5,055,832, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 41 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,604,792
Proper Divisor Sum 5,055,832
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3548957 ← → #3548977

Radix Representation

Decimal 3548960
Binary 1101100010011100100000 (22 bits)
Octal 0o15423440
Hexadecimal 0x362720

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 541 656 820 1,082 1,312 1,640 2,164 2,705 3,280 4,328 5,410 6,560 8,656 10,820 17,312 21,640 22,181 43,280 44,362 86,560 88,724 110,905 177,448 221,810 354,896 443,620 709,792 887,240 1,774,480 3,548,960

Collatz Trajectory (97 steps to reach 1)

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

3,548,960 1,774,480 887,240 443,620 221,810 110,905 332,716 166,358 83,179 249,538 124,769 374,308 187,154 93,577 280,732 140,366 70,183 210,550 105,275 315,826 157,913 473,740 236,870 118,435 355,306 177,653 532,960 266,480 133,240 66,620 33,310 16,655 49,966 24,983 74,950 37,475 112,426 56,213 168,640 84,320 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628

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