2,427,724

2² × 13 × 46687

2,427,724 factors as 2^2 × 13 × 46687. Its 12 positive divisors give a proper-divisor sum of 2,147,700, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 46687

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,575,424

Proper Divisor Sum 2,147,700

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2427721 ← → #2427727

Radix Representation

Decimal	2427724
Binary	1001010000101101001100 (22 bits)
Octal	0o11205514
Hexadecimal	0x250B4C

Divisor Catalog (12)

1 2 4 13 26 52 46,687 93,374 186,748 606,931 1,213,862 2,427,724

Collatz Trajectory (117 steps to reach 1)

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

2,427,724 1,213,862 606,931 1,820,794 910,397 2,731,192 1,365,596 682,798 341,399 1,024,198 512,099 1,536,298 768,149 2,304,448 1,152,224 576,112 288,056 144,028 72,014 36,007 108,022 54,011 162,034 81,017 243,052 121,526 60,763 182,290 91,145 273,436 136,718 68,359 205,078 102,539 307,618 153,809 461,428 230,714 115,357 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362

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