735,540

2² × 3 × 5 × 13 × 23 × 41

735,540 factors as 2^2 × 3 × 5 × 13 × 23 × 41. Its 96 positive divisors give a proper-divisor sum of 1,635,276, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 23 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,370,816

Proper Divisor Sum 1,635,276

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #735533 ← → #735557

Radix Representation

Decimal	735540
Binary	10110011100100110100 (20 bits)
Octal	0o2634464
Hexadecimal	0xB3934

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 41 46 52 60 65 69 78 82 92 115 123 130 138 156 164 195 205 230 246 260 276 299 345 390 410 460 492 533 598 615 690 780 820 897 943 1,066 1,196 1,230 1,380 1,495 1,599 1,794 1,886 2,132 2,460

Collatz Trajectory (149 steps to reach 1)

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

735,540 367,770 183,885 551,656 275,828 137,914 68,957 206,872 103,436 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #735,539 Browse Full Index Next Integer #735,541 →