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Atlas › Integer Profiles › Node 14,484,232

14,484,232

23 × 7 × 19 × 13613
Abundant Even Composite

14,484,232 factors as 2^3 × 7 × 19 × 13613. Its 32 positive divisors give a proper-divisor sum of 18,189,368, so this integer is abundant. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 13613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,673,600
Proper Divisor Sum 18,189,368
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #14484209 ← → #14484233

Radix Representation

Decimal 14484232
Binary 110111010000001100001000 (24 bits)
Octal 0o67201410
Hexadecimal 0xDD0308

Divisor Catalog (32)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1,064 13,613 27,226 54,452 95,291 108,904 190,582 258,647 381,164 517,294 762,328 1,034,588 1,810,529 2,069,176 3,621,058 7,242,116 14,484,232

Collatz Trajectory (311 steps to reach 1)

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

14,484,232 7,242,116 3,621,058 1,810,529 5,431,588 2,715,794 1,357,897 4,073,692 2,036,846 1,018,423 3,055,270 1,527,635 4,582,906 2,291,453 6,874,360 3,437,180 1,718,590 859,295 2,577,886 1,288,943 3,866,830 1,933,415 5,800,246 2,900,123 8,700,370 4,350,185 13,050,556 6,525,278 3,262,639 9,787,918 4,893,959 14,681,878 7,340,939 22,022,818 11,011,409 33,034,228 16,517,114 8,258,557 24,775,672 12,387,836 6,193,918 3,096,959 9,290,878 4,645,439 13,936,318 6,968,159 20,904,478 10,452,239 31,356,718 15,678,359 47,035,078 23,517,539 70,552,618 35,276,309 105,828,928 52,914,464 26,457,232 13,228,616 6,614,308 3,307,154

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