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Atlas › Integer Profiles › Node 9,729,700

9,729,700

22 × 52 × 149 × 653
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 149 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,287,700
Proper Divisor Sum 11,558,000
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9729697 ← → #9729743

Radix Representation

Decimal 9729700
Binary 100101000111011010100100 (24 bits)
Octal 0o45073244
Hexadecimal 0x9476A4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 149 298 596 653 745 1,306 1,490 2,612 2,980 3,265 3,725 6,530 7,450 13,060 14,900 16,325 32,650 65,300 97,297 194,594 389,188 486,485 972,970 1,945,940 2,432,425 4,864,850 9,729,700

Collatz Trajectory (181 steps to reach 1)

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

9,729,700 4,864,850 2,432,425 7,297,276 3,648,638 1,824,319 5,472,958 2,736,479 8,209,438 4,104,719 12,314,158 6,157,079 18,471,238 9,235,619 27,706,858 13,853,429 41,560,288 20,780,144 10,390,072 5,195,036 2,597,518 1,298,759 3,896,278 1,948,139 5,844,418 2,922,209 8,766,628 4,383,314 2,191,657 6,574,972 3,287,486 1,643,743 4,931,230 2,465,615 7,396,846 3,698,423 11,095,270 5,547,635 16,642,906 8,321,453 24,964,360 12,482,180 6,241,090 3,120,545 9,361,636 4,680,818 2,340,409 7,021,228 3,510,614 1,755,307 5,265,922 2,632,961 7,898,884 3,949,442 1,974,721 5,924,164 2,962,082 1,481,041 4,443,124 2,221,562

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