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Atlas › Integer Profiles › Node 4,465,280

4,465,280

27 × 5 × 6977
Abundant Even Composite

4,465,280 factors as 2^7 × 5 × 6977. Its 32 positive divisors give a proper-divisor sum of 6,211,060, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 6977
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,676,340
Proper Divisor Sum 6,211,060
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4465277 ← → #4465291

Radix Representation

Decimal 4465280
Binary 10001000010001010000000 (23 bits)
Octal 0o21021200
Hexadecimal 0x442280

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6,977 13,954 27,908 34,885 55,816 69,770 111,632 139,540 223,264 279,080 446,528 558,160 893,056 1,116,320 2,232,640 4,465,280

Collatz Trajectory (56 steps to reach 1)

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

4,465,280 2,232,640 1,116,320 558,160 279,080 139,540 69,770 34,885 104,656 52,328 26,164 13,082 6,541 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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