4,680,628

2² × 31 × 37747

4,680,628 factors as 2^2 × 31 × 37747. Its 12 positive divisors give a proper-divisor sum of 3,774,924, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 37747

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,455,552

Proper Divisor Sum 3,774,924

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4680623 ← → #4680653

Radix Representation

Decimal	4680628
Binary	10001110110101110110100 (23 bits)
Octal	0o21665664
Hexadecimal	0x476BB4

Divisor Catalog (12)

1 2 4 31 62 124 37,747 75,494 150,988 1,170,157 2,340,314 4,680,628

Collatz Trajectory (162 steps to reach 1)

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

4,680,628 2,340,314 1,170,157 3,510,472 1,755,236 877,618 438,809 1,316,428 658,214 329,107 987,322 493,661 1,480,984 740,492 370,246 185,123 555,370 277,685 833,056 416,528 208,264 104,132 52,066 26,033 78,100 39,050 19,525 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

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