λ
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Atlas › Integer Profiles › Node 14,614,432

14,614,432

25 × 7 × 53 × 1231
Abundant Even Composite

14,614,432 factors as 2^5 × 7 × 53 × 1231. Its 48 positive divisors give a proper-divisor sum of 18,915,680, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 53 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,530,112
Proper Divisor Sum 18,915,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #14614387 ← → #14614451

Radix Representation

Decimal 14614432
Binary 110111101111111110100000 (24 bits)
Octal 0o67577640
Hexadecimal 0xDEFFA0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1,231 1,484 1,696 2,462 2,968 4,924 5,936 8,617 9,848 11,872 17,234 19,696 34,468 39,392 65,243 68,936 130,486 137,872 260,972 275,744 456,701 521,944 913,402 1,043,888 1,826,804 2,087,776 3,653,608 7,307,216 14,614,432

Collatz Trajectory (117 steps to reach 1)

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

14,614,432 7,307,216 3,653,608 1,826,804 913,402 456,701 1,370,104 685,052 342,526 171,263 513,790 256,895 770,686 385,343 1,156,030 578,015 1,734,046 867,023 2,601,070 1,300,535 3,901,606 1,950,803 5,852,410 2,926,205 8,778,616 4,389,308 2,194,654 1,097,327 3,291,982 1,645,991 4,937,974 2,468,987 7,406,962 3,703,481 11,110,444 5,555,222 2,777,611 8,332,834 4,166,417 12,499,252 6,249,626 3,124,813 9,374,440 4,687,220 2,343,610 1,171,805 3,515,416 1,757,708 878,854 439,427 1,318,282 659,141 1,977,424 988,712 494,356 247,178 123,589 370,768 185,384 92,692

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