7,480,980

2² × 3² × 5 × 13 × 23 × 139

7,480,980 factors as 2^2 × 3^2 × 5 × 13 × 23 × 139. Its 144 positive divisors give a proper-divisor sum of 18,202,860, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 23 × 139

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 25,683,840

Proper Divisor Sum 18,202,860

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7480937 ← → #7481009

Radix Representation

Decimal	7480980
Binary	11100100010011010010100 (23 bits)
Octal	0o34423224
Hexadecimal	0x722694

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 139 156 180 195 207 230 234 260 276 278 299 345 390 414 417 460 468 556 585 598 690 695 780 828 834 897 1,035 1,170 1,196

Collatz Trajectory (98 steps to reach 1)

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

7,480,980 3,740,490 1,870,245 5,610,736 2,805,368 1,402,684 701,342 350,671 1,052,014 526,007 1,578,022 789,011 2,367,034 1,183,517 3,550,552 1,775,276 887,638 443,819 1,331,458 665,729 1,997,188 998,594 499,297 1,497,892 748,946 374,473 1,123,420 561,710 280,855 842,566 421,283 1,263,850 631,925 1,895,776 947,888 473,944 236,972 118,486 59,243 177,730 88,865 266,596 133,298 66,649 199,948 99,974 49,987 149,962 74,981 224,944 112,472 56,236 28,118 14,059 42,178 21,089 63,268 31,634 15,817 47,452

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