4,492,260

2² × 3⁴ × 5 × 47 × 59

4,492,260 factors as 2^2 × 3^4 × 5 × 47 × 59. Its 120 positive divisors give a proper-divisor sum of 10,143,900, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 47 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 14,636,160

Proper Divisor Sum 10,143,900

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4492259 ← → #4492273

Radix Representation

Decimal	4492260
Binary	10001001000101111100100 (23 bits)
Octal	0o21105744
Hexadecimal	0x448BE4

Divisor Catalog (60 of 120)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 59 60 81 90 94 108 118 135 141 162 177 180 188 235 236 270 282 295 324 354 405 423 470 531 540 564 590 705 708 810 846 885 940 1,062 1,180 1,269 1,410 1,593 1,620 1,692 1,770 2,115

Collatz Trajectory (87 steps to reach 1)

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

4,492,260 2,246,130 1,123,065 3,369,196 1,684,598 842,299 2,526,898 1,263,449 3,790,348 1,895,174 947,587 2,842,762 1,421,381 4,264,144 2,132,072 1,066,036 533,018 266,509 799,528 399,764 199,882 99,941 299,824 149,912 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134

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