7,614,948

2² × 3 × 11 × 57689

7,614,948 factors as 2^2 × 3 × 11 × 57689. Its 24 positive divisors give a proper-divisor sum of 11,768,892, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 57689

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,383,840

Proper Divisor Sum 11,768,892

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7614947 ← → #7614967

Radix Representation

Decimal	7614948
Binary	11101000011000111100100 (23 bits)
Octal	0o35030744
Hexadecimal	0x7431E4

Divisor Catalog (24)

Collatz Trajectory (103 steps to reach 1)

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

7,614,948 3,807,474 1,903,737 5,711,212 2,855,606 1,427,803 4,283,410 2,141,705 6,425,116 3,212,558 1,606,279 4,818,838 2,409,419 7,228,258 3,614,129 10,842,388 5,421,194 2,710,597 8,131,792 4,065,896 2,032,948 1,016,474 508,237 1,524,712 762,356 381,178 190,589 571,768 285,884 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467 64,402 32,201 96,604 48,302

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