4,580,681

7 × 113 × 5791

4,580,681 factors as 7 × 113 × 5791. Its 8 positive divisors give a proper-divisor sum of 701,623, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 7 × 113 × 5791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,282,304

Proper Divisor Sum 701,623

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4580669 ← → #4580683

Radix Representation

Decimal	4580681
Binary	10001011110010101001001 (23 bits)
Octal	0o21362511
Hexadecimal	0x45E549

Divisor Catalog (8)

1 7 113 791 5,791 40,537 654,383 4,580,681

Collatz Trajectory (131 steps to reach 1)

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

4,580,681 13,742,044 6,871,022 3,435,511 10,306,534 5,153,267 15,459,802 7,729,901 23,189,704 11,594,852 5,797,426 2,898,713 8,696,140 4,348,070 2,174,035 6,522,106 3,261,053 9,783,160 4,891,580 2,445,790 1,222,895 3,668,686 1,834,343 5,503,030 2,751,515 8,254,546 4,127,273 12,381,820 6,190,910 3,095,455 9,286,366 4,643,183 13,929,550 6,964,775 20,894,326 10,447,163 31,341,490 15,670,745 47,012,236 23,506,118 11,753,059 35,259,178 17,629,589 52,888,768 26,444,384 13,222,192 6,611,096 3,305,548 1,652,774 826,387 2,479,162 1,239,581 3,718,744 1,859,372 929,686 464,843 1,394,530 697,265 2,091,796 1,045,898

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