42,426,160

2⁴ × 5 × 7² × 79 × 137

42,426,160 factors as 2^4 × 5 × 7^2 × 79 × 137. Its 120 positive divisors give a proper-divisor sum of 74,619,920, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7^2 × 79 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 117,046,080

Proper Divisor Sum 74,619,920

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #42426119 ← → #42426173

Radix Representation

Decimal	42426160
Binary	10100001110101111100110000 (26 bits)
Octal	0o241657460
Hexadecimal	0x2875F30

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 79 80 98 112 137 140 158 196 245 274 280 316 392 395 490 548 553 560 632 685 784 790 959 980 1,096 1,106 1,264 1,370 1,580 1,918 1,960 2,192 2,212 2,740 2,765 3,160 3,836 3,871 3,920 4,424 4,795 5,480 5,530 6,320

Collatz Trajectory (173 steps to reach 1)

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

42,426,160 21,213,080 10,606,540 5,303,270 2,651,635 7,954,906 3,977,453 11,932,360 5,966,180 2,983,090 1,491,545 4,474,636 2,237,318 1,118,659 3,355,978 1,677,989 5,033,968 2,516,984 1,258,492 629,246 314,623 943,870 471,935 1,415,806 707,903 2,123,710 1,061,855 3,185,566 1,592,783 4,778,350 2,389,175 7,167,526 3,583,763 10,751,290 5,375,645 16,126,936 8,063,468 4,031,734 2,015,867 6,047,602 3,023,801 9,071,404 4,535,702 2,267,851 6,803,554 3,401,777 10,205,332 5,102,666 2,551,333 7,654,000 3,827,000 1,913,500 956,750 478,375 1,435,126 717,563 2,152,690 1,076,345 3,229,036 1,614,518

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 #42,426,159 Browse Full Index Next Integer #42,426,161 →