7,601,490

2 × 3² × 5 × 13 × 73 × 89

7,601,490 factors as 2 × 3^2 × 5 × 13 × 73 × 89. Its 96 positive divisors give a proper-divisor sum of 14,216,670, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 73 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,818,160

Proper Divisor Sum 14,216,670

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7601483 ← → #7601507

Radix Representation

Decimal	7601490
Binary	11100111111110101010010 (23 bits)
Octal	0o34776522
Hexadecimal	0x73FD52

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 73 78 89 90 117 130 146 178 195 219 234 267 365 390 438 445 534 585 657 730 801 890 949 1,095 1,157 1,170 1,314 1,335 1,602 1,898 2,190 2,314 2,670 2,847 3,285 3,471 4,005 4,745 5,694 5,785 6,497 6,570 6,942 8,010 8,541

Collatz Trajectory (155 steps to reach 1)

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

7,601,490 3,800,745 11,402,236 5,701,118 2,850,559 8,551,678 4,275,839 12,827,518 6,413,759 19,241,278 9,620,639 28,861,918 14,430,959 43,292,878 21,646,439 64,939,318 32,469,659 97,408,978 48,704,489 146,113,468 73,056,734 36,528,367 109,585,102 54,792,551 164,377,654 82,188,827 246,566,482 123,283,241 369,849,724 184,924,862 92,462,431 277,387,294 138,693,647 416,080,942 208,040,471 624,121,414 312,060,707 936,182,122 468,091,061 1,404,273,184 702,136,592 351,068,296 175,534,148 87,767,074 43,883,537 131,650,612 65,825,306 32,912,653 98,737,960 49,368,980 24,684,490 12,342,245 37,026,736 18,513,368 9,256,684 4,628,342 2,314,171 6,942,514 3,471,257 10,413,772

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,601,489 Browse Full Index Next Integer #7,601,491 →