742,650

2 × 3 × 5² × 4951

742,650 factors as 2 × 3 × 5^2 × 4951. Its 24 positive divisors give a proper-divisor sum of 1,099,494, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 4951

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,842,144

Proper Divisor Sum 1,099,494

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #742619 ← → #742657

Radix Representation

Decimal	742650
Binary	10110101010011111010 (20 bits)
Octal	0o2652372
Hexadecimal	0xB54FA

Divisor Catalog (24)

Collatz Trajectory (92 steps to reach 1)

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

742,650 371,325 1,113,976 556,988 278,494 139,247 417,742 208,871 626,614 313,307 939,922 469,961 1,409,884 704,942 352,471 1,057,414 528,707 1,586,122 793,061 2,379,184 1,189,592 594,796 297,398 148,699 446,098 223,049 669,148 334,574 167,287 501,862 250,931 752,794 376,397 1,129,192 564,596 282,298 141,149 423,448 211,724 105,862 52,931 158,794 79,397 238,192 119,096 59,548 29,774 14,887 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264

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