4,865,724

2² × 3³ × 45053

4,865,724 factors as 2^2 × 3^3 × 45053. Its 24 positive divisors give a proper-divisor sum of 7,749,396, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 45053

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,615,120

Proper Divisor Sum 7,749,396

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4865717 ← → #4865737

Radix Representation

Decimal	4865724
Binary	10010100011111010111100 (23 bits)
Octal	0o22437274
Hexadecimal	0x4A3EBC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 45,053 90,106 135,159 180,212 270,318 405,477 540,636 810,954 1,216,431 1,621,908 2,432,862 4,865,724

Collatz Trajectory (162 steps to reach 1)

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

4,865,724 2,432,862 1,216,431 3,649,294 1,824,647 5,473,942 2,736,971 8,210,914 4,105,457 12,316,372 6,158,186 3,079,093 9,237,280 4,618,640 2,309,320 1,154,660 577,330 288,665 865,996 432,998 216,499 649,498 324,749 974,248 487,124 243,562 121,781 365,344 182,672 91,336 45,668 22,834 11,417 34,252 17,126 8,563 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143

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