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Atlas › Integer Profiles › Node 9,700,620

9,700,620

22 × 3 × 5 × 107 × 1511
Abundant Even Composite

9,700,620 factors as 2^2 × 3 × 5 × 107 × 1511. Its 48 positive divisors give a proper-divisor sum of 17,733,108, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 107 × 1511
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,433,728
Proper Divisor Sum 17,733,108
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9700609 ← → #9700627

Radix Representation

Decimal 9700620
Binary 100101000000010100001100 (24 bits)
Octal 0o45002414
Hexadecimal 0x94050C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1,070 1,284 1,511 1,605 2,140 3,022 3,210 4,533 6,044 6,420 7,555 9,066 15,110 18,132 22,665 30,220 45,330 90,660 161,677 323,354 485,031 646,708 808,385 970,062 1,616,770 1,940,124 2,425,155 3,233,540 4,850,310 9,700,620

Collatz Trajectory (119 steps to reach 1)

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

9,700,620 4,850,310 2,425,155 7,275,466 3,637,733 10,913,200 5,456,600 2,728,300 1,364,150 682,075 2,046,226 1,023,113 3,069,340 1,534,670 767,335 2,302,006 1,151,003 3,453,010 1,726,505 5,179,516 2,589,758 1,294,879 3,884,638 1,942,319 5,826,958 2,913,479 8,740,438 4,370,219 13,110,658 6,555,329 19,665,988 9,832,994 4,916,497 14,749,492 7,374,746 3,687,373 11,062,120 5,531,060 2,765,530 1,382,765 4,148,296 2,074,148 1,037,074 518,537 1,555,612 777,806 388,903 1,166,710 583,355 1,750,066 875,033 2,625,100 1,312,550 656,275 1,968,826 984,413 2,953,240 1,476,620 738,310 369,155

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