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Atlas › Integer Profiles › Node 15,946,672

15,946,672

24 × 7 × 142381
Abundant Even Composite

15,946,672 factors as 2^4 × 7 × 142381. Its 20 positive divisors give a proper-divisor sum of 19,364,064, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 142381
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 35,310,736
Proper Divisor Sum 19,364,064
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #15946661 ← → #15946687

Radix Representation

Decimal 15946672
Binary 111100110101001110110000 (24 bits)
Octal 0o74651660
Hexadecimal 0xF353B0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 142,381 284,762 569,524 996,667 1,139,048 1,993,334 2,278,096 3,986,668 7,973,336 15,946,672

Collatz Trajectory (94 steps to reach 1)

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

15,946,672 7,973,336 3,986,668 1,993,334 996,667 2,990,002 1,495,001 4,485,004 2,242,502 1,121,251 3,363,754 1,681,877 5,045,632 2,522,816 1,261,408 630,704 315,352 157,676 78,838 39,419 118,258 59,129 177,388 88,694 44,347 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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