7,923,724

2² × 31 × 63901

7,923,724 factors as 2^2 × 31 × 63901. Its 12 positive divisors give a proper-divisor sum of 6,390,324, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 63901

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,314,048

Proper Divisor Sum 6,390,324

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7923719 ← → #7923731

Radix Representation

Decimal	7923724
Binary	11110001110100000001100 (23 bits)
Octal	0o36164014
Hexadecimal	0x78E80C

Divisor Catalog (12)

1 2 4 31 62 124 63,901 127,802 255,604 1,980,931 3,961,862 7,923,724

Collatz Trajectory (186 steps to reach 1)

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

7,923,724 3,961,862 1,980,931 5,942,794 2,971,397 8,914,192 4,457,096 2,228,548 1,114,274 557,137 1,671,412 835,706 417,853 1,253,560 626,780 313,390 156,695 470,086 235,043 705,130 352,565 1,057,696 528,848 264,424 132,212 66,106 33,053 99,160 49,580 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272

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