14,441,840

2⁴ × 5 × 7 × 17 × 37 × 41

14,441,840 factors as 2^4 × 5 × 7 × 17 × 37 × 41. Its 160 positive divisors give a proper-divisor sum of 28,305,424, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 17 × 37 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 42,747,264

Proper Divisor Sum 28,305,424

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #14441839 ← → #14441863

Radix Representation

Decimal	14441840
Binary	110111000101110101110000 (24 bits)
Octal	0o67056560
Hexadecimal	0xDC5D70

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 14 16 17 20 28 34 35 37 40 41 56 68 70 74 80 82 85 112 119 136 140 148 164 170 185 205 238 259 272 280 287 296 328 340 370 410 476 518 560 574 592 595 629 656 680 697 740 820 952 1,036 1,148 1,190 1,258

Collatz Trajectory (91 steps to reach 1)

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

14,441,840 7,220,920 3,610,460 1,805,230 902,615 2,707,846 1,353,923 4,061,770 2,030,885 6,092,656 3,046,328 1,523,164 761,582 380,791 1,142,374 571,187 1,713,562 856,781 2,570,344 1,285,172 642,586 321,293 963,880 481,940 240,970 120,485 361,456 180,728 90,364 45,182 22,591 67,774 33,887 101,662 50,831 152,494 76,247 228,742 114,371 343,114 171,557 514,672 257,336 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #14,441,839 Browse Full Index Next Integer #14,441,841 →