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Atlas › Integer Profiles › Node 14,677,360

14,677,360

24 × 5 × 271 × 677
Abundant Even Composite

14,677,360 factors as 2^4 × 5 × 271 × 677. Its 40 positive divisors give a proper-divisor sum of 19,624,016, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 271 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 34,301,376
Proper Divisor Sum 19,624,016
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #14677337 ← → #14677391

Radix Representation

Decimal 14677360
Binary 110111111111010101110000 (24 bits)
Octal 0o67772560
Hexadecimal 0xDFF570

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 271 542 677 1,084 1,354 1,355 2,168 2,708 2,710 3,385 4,336 5,416 5,420 6,770 10,832 10,840 13,540 21,680 27,080 54,160 183,467 366,934 733,868 917,335 1,467,736 1,834,670 2,935,472 3,669,340 7,338,680 14,677,360

Collatz Trajectory (205 steps to reach 1)

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

14,677,360 7,338,680 3,669,340 1,834,670 917,335 2,752,006 1,376,003 4,128,010 2,064,005 6,192,016 3,096,008 1,548,004 774,002 387,001 1,161,004 580,502 290,251 870,754 435,377 1,306,132 653,066 326,533 979,600 489,800 244,900 122,450 61,225 183,676 91,838 45,919 137,758 68,879 206,638 103,319 309,958 154,979 464,938 232,469 697,408 348,704 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587

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