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Atlas › Integer Profiles › Node 3,909,280

3,909,280

25 × 5 × 53 × 461
Abundant Even Composite

3,909,280 factors as 2^5 × 5 × 53 × 461. Its 48 positive divisors give a proper-divisor sum of 5,521,064, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 53 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,430,344
Proper Divisor Sum 5,521,064
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3909277 ← → #3909289

Radix Representation

Decimal 3909280
Binary 1110111010011010100000 (22 bits)
Octal 0o16723240
Hexadecimal 0x3BA6A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 461 530 848 922 1,060 1,696 1,844 2,120 2,305 3,688 4,240 4,610 7,376 8,480 9,220 14,752 18,440 24,433 36,880 48,866 73,760 97,732 122,165 195,464 244,330 390,928 488,660 781,856 977,320 1,954,640 3,909,280

Collatz Trajectory (92 steps to reach 1)

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

3,909,280 1,954,640 977,320 488,660 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692

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