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Atlas › Integer Profiles › Node 2,232,640

2,232,640

26 × 5 × 6977
Abundant Even Composite

2,232,640 factors as 2^6 × 5 × 6977. Its 28 positive divisors give a proper-divisor sum of 3,084,596, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 6977
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,317,236
Proper Divisor Sum 3,084,596
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2232613 ← → #2232653

Radix Representation

Decimal 2232640
Binary 1000100001000101000000 (22 bits)
Octal 0o10410500
Hexadecimal 0x221140

Divisor Catalog (28)

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

Collatz Trajectory (55 steps to reach 1)

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

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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