4,625,192

2³ × 11 × 13² × 311

4,625,192 is even and not a perfect square. Its factorization is 2^3 × 11 × 13^2 × 311 and its 48 divisors sum to 10,277,280.

Prime Factor Structure

Factorization String 2^3 × 11 × 13^2 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,277,280

Proper Divisor Sum 5,652,088

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4625191 ← → #4625219

Radix Representation

Decimal	4625192
Binary	10001101001001100101000 (23 bits)
Octal	0o21511450
Hexadecimal	0x469328

Divisor Catalog (48)

1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 311 338 572 622 676 1,144 1,244 1,352 1,859 2,488 3,421 3,718 4,043 6,842 7,436 8,086 13,684 14,872 16,172 27,368 32,344 44,473 52,559 88,946 105,118 177,892 210,236 355,784 420,472 578,149 1,156,298 2,312,596 4,625,192

Collatz Trajectory (149 steps to reach 1)

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

4,625,192 2,312,596 1,156,298 578,149 1,734,448 867,224 433,612 216,806 108,403 325,210 162,605 487,816 243,908 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137

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