4,577,424

2⁴ × 3 × 47 × 2029

4,577,424 factors as 2^4 × 3 × 47 × 2029. Its 40 positive divisors give a proper-divisor sum of 7,505,136, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 47 × 2029

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,082,560

Proper Divisor Sum 7,505,136

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4577413 ← → #4577431

Radix Representation

Decimal	4577424
Binary	10001011101100010010000 (23 bits)
Octal	0o21354220
Hexadecimal	0x45D890

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1,128 2,029 2,256 4,058 6,087 8,116 12,174 16,232 24,348 32,464 48,696 95,363 97,392 190,726 286,089 381,452 572,178 762,904 1,144,356 1,525,808 2,288,712 4,577,424

Collatz Trajectory (131 steps to reach 1)

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

4,577,424 2,288,712 1,144,356 572,178 286,089 858,268 429,134 214,567 643,702 321,851 965,554 482,777 1,448,332 724,166 362,083 1,086,250 543,125 1,629,376 814,688 407,344 203,672 101,836 50,918 25,459 76,378 38,189 114,568 57,284 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846

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