4,631,836

2² × 11 × 105269

4,631,836 factors as 2^2 × 11 × 105269. Its 12 positive divisors give a proper-divisor sum of 4,210,844, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 105269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,842,680

Proper Divisor Sum 4,210,844

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4631821 ← → #4631843

Radix Representation

Decimal	4631836
Binary	10001101010110100011100 (23 bits)
Octal	0o21526434
Hexadecimal	0x46AD1C

Divisor Catalog (12)

1 2 4 11 22 44 105,269 210,538 421,076 1,157,959 2,315,918 4,631,836

Collatz Trajectory (224 steps to reach 1)

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

4,631,836 2,315,918 1,157,959 3,473,878 1,736,939 5,210,818 2,605,409 7,816,228 3,908,114 1,954,057 5,862,172 2,931,086 1,465,543 4,396,630 2,198,315 6,594,946 3,297,473 9,892,420 4,946,210 2,473,105 7,419,316 3,709,658 1,854,829 5,564,488 2,782,244 1,391,122 695,561 2,086,684 1,043,342 521,671 1,565,014 782,507 2,347,522 1,173,761 3,521,284 1,760,642 880,321 2,640,964 1,320,482 660,241 1,980,724 990,362 495,181 1,485,544 742,772 371,386 185,693 557,080 278,540 139,270 69,635 208,906 104,453 313,360 156,680 78,340 39,170 19,585 58,756 29,378

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