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Atlas › Integer Profiles › Node 9,705,800

9,705,800

23 × 52 × 13 × 3733
Abundant Even Composite

9,705,800 factors as 2^3 × 5^2 × 13 × 3733. Its 48 positive divisors give a proper-divisor sum of 14,602,540, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 3733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,308,340
Proper Divisor Sum 14,602,540
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9705799 ← → #9705847

Radix Representation

Decimal 9705800
Binary 100101000001100101001000 (24 bits)
Octal 0o45014510
Hexadecimal 0x941948

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1,300 2,600 3,733 7,466 14,932 18,665 29,864 37,330 48,529 74,660 93,325 97,058 149,320 186,650 194,116 242,645 373,300 388,232 485,290 746,600 970,580 1,213,225 1,941,160 2,426,450 4,852,900 9,705,800

Collatz Trajectory (119 steps to reach 1)

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

9,705,800 4,852,900 2,426,450 1,213,225 3,639,676 1,819,838 909,919 2,729,758 1,364,879 4,094,638 2,047,319 6,141,958 3,070,979 9,212,938 4,606,469 13,819,408 6,909,704 3,454,852 1,727,426 863,713 2,591,140 1,295,570 647,785 1,943,356 971,678 485,839 1,457,518 728,759 2,186,278 1,093,139 3,279,418 1,639,709 4,919,128 2,459,564 1,229,782 614,891 1,844,674 922,337 2,767,012 1,383,506 691,753 2,075,260 1,037,630 518,815 1,556,446 778,223 2,334,670 1,167,335 3,502,006 1,751,003 5,253,010 2,626,505 7,879,516 3,939,758 1,969,879 5,909,638 2,954,819 8,864,458 4,432,229 13,296,688

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