4,612,410

2 × 3³ × 5 × 11 × 1553

4,612,410 factors as 2 × 3^3 × 5 × 11 × 1553. Its 64 positive divisors give a proper-divisor sum of 8,814,150, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11 × 1553

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,426,560

Proper Divisor Sum 8,814,150

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4612409 ← → #4612427

Radix Representation

Decimal	4612410
Binary	10001100110000100111010 (23 bits)
Octal	0o21460472
Hexadecimal	0x46613A

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1,485 1,553 2,970 3,106 4,659 7,765 9,318 13,977 15,530 17,083 23,295 27,954 34,166 41,931 46,590 51,249 69,885 83,862 85,415 102,498 139,770 153,747 170,830 209,655 256,245 307,494 419,310 461,241 512,490 768,735

Collatz Trajectory (193 steps to reach 1)

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

4,612,410 2,306,205 6,918,616 3,459,308 1,729,654 864,827 2,594,482 1,297,241 3,891,724 1,945,862 972,931 2,918,794 1,459,397 4,378,192 2,189,096 1,094,548 547,274 273,637 820,912 410,456 205,228 102,614 51,307 153,922 76,961 230,884 115,442 57,721 173,164 86,582 43,291 129,874 64,937 194,812 97,406 48,703 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876

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