4,629,348

2² × 3² × 23 × 5591

4,629,348 factors as 2^2 × 3^2 × 23 × 5591. Its 36 positive divisors give a proper-divisor sum of 7,583,580, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 5591

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 12,212,928

Proper Divisor Sum 7,583,580

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4629347 ← → #4629349

Radix Representation

Decimal	4629348
Binary	10001101010001101100100 (23 bits)
Octal	0o21521544
Hexadecimal	0x46A364

Divisor Catalog (36)

Collatz Trajectory (193 steps to reach 1)

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

4,629,348 2,314,674 1,157,337 3,472,012 1,736,006 868,003 2,604,010 1,302,005 3,906,016 1,953,008 976,504 488,252 244,126 122,063 366,190 183,095 549,286 274,643 823,930 411,965 1,235,896 617,948 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900

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