748,413

3³ × 53 × 523

748,413 factors as 3^3 × 53 × 523. Its 16 positive divisors give a proper-divisor sum of 383,427, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3^3 × 53 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,131,840

Proper Divisor Sum 383,427

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #748387 ← → #748441

Radix Representation

Decimal	748413
Binary	10110110101101111101 (20 bits)
Octal	0o2665575
Hexadecimal	0xB6B7D

Divisor Catalog (16)

1 3 9 27 53 159 477 523 1,431 1,569 4,707 14,121 27,719 83,157 249,471 748,413

Collatz Trajectory (118 steps to reach 1)

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

748,413 2,245,240 1,122,620 561,310 280,655 841,966 420,983 1,262,950 631,475 1,894,426 947,213 2,841,640 1,420,820 710,410 355,205 1,065,616 532,808 266,404 133,202 66,601 199,804 99,902 49,951 149,854 74,927 224,782 112,391 337,174 168,587 505,762 252,881 758,644 379,322 189,661 568,984 284,492 142,246 71,123 213,370 106,685 320,056 160,028 80,014 40,007 120,022 60,011 180,034 90,017 270,052 135,026 67,513 202,540 101,270 50,635 151,906 75,953 227,860 113,930 56,965 170,896

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