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Atlas › Integer Profiles › Node 9,758,060

9,758,060

22 × 5 × 132 × 2887
Abundant Even Composite

9,758,060 factors as 2^2 × 5 × 13^2 × 2887. Its 36 positive divisors give a proper-divisor sum of 12,439,108, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 2887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,197,168
Proper Divisor Sum 12,439,108
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9758057 ← → #9758101

Radix Representation

Decimal 9758060
Binary 100101001110010101101100 (24 bits)
Octal 0o45162554
Hexadecimal 0x94E56C

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1,690 2,887 3,380 5,774 11,548 14,435 28,870 37,531 57,740 75,062 150,124 187,655 375,310 487,903 750,620 975,806 1,951,612 2,439,515 4,879,030 9,758,060

Collatz Trajectory (207 steps to reach 1)

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

9,758,060 4,879,030 2,439,515 7,318,546 3,659,273 10,977,820 5,488,910 2,744,455 8,233,366 4,116,683 12,350,050 6,175,025 18,525,076 9,262,538 4,631,269 13,893,808 6,946,904 3,473,452 1,736,726 868,363 2,605,090 1,302,545 3,907,636 1,953,818 976,909 2,930,728 1,465,364 732,682 366,341 1,099,024 549,512 274,756 137,378 68,689 206,068 103,034 51,517 154,552 77,276 38,638 19,319 57,958 28,979 86,938 43,469 130,408 65,204 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318

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