4,127,624

2³ × 457 × 1129

4,127,624 factors as 2^3 × 457 × 1129. Its 16 positive divisors give a proper-divisor sum of 3,635,476, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 457 × 1129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,763,100

Proper Divisor Sum 3,635,476

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4127621 ← → #4127633

Radix Representation

Decimal	4127624
Binary	1111101111101110001000 (22 bits)
Octal	0o17575610
Hexadecimal	0x3EFB88

Divisor Catalog (16)

1 2 4 8 457 914 1,129 1,828 2,258 3,656 4,516 9,032 515,953 1,031,906 2,063,812 4,127,624

Collatz Trajectory (198 steps to reach 1)

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

4,127,624 2,063,812 1,031,906 515,953 1,547,860 773,930 386,965 1,160,896 580,448 290,224 145,112 72,556 36,278 18,139 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367

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