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Atlas › Integer Profiles › Node 14,101,272

14,101,272

23 × 32 × 139 × 1409
Abundant Even Composite

14,101,272 factors as 2^3 × 3^2 × 139 × 1409. Its 48 positive divisors give a proper-divisor sum of 24,391,728, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 139 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,493,000
Proper Divisor Sum 24,391,728
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #14101261 ← → #14101319

Radix Representation

Decimal 14101272
Binary 110101110010101100011000 (24 bits)
Octal 0o65625430
Hexadecimal 0xD72B18

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1,112 1,251 1,409 1,668 2,502 2,818 3,336 4,227 5,004 5,636 8,454 10,008 11,272 12,681 16,908 25,362 33,816 50,724 101,448 195,851 391,702 587,553 783,404 1,175,106 1,566,808 1,762,659 2,350,212 3,525,318 4,700,424 7,050,636 14,101,272

Collatz Trajectory (148 steps to reach 1)

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

14,101,272 7,050,636 3,525,318 1,762,659 5,287,978 2,643,989 7,931,968 3,965,984 1,982,992 991,496 495,748 247,874 123,937 371,812 185,906 92,953 278,860 139,430 69,715 209,146 104,573 313,720 156,860 78,430 39,215 117,646 58,823 176,470 88,235 264,706 132,353 397,060 198,530 99,265 297,796 148,898 74,449 223,348 111,674 55,837 167,512 83,756 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485

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