λ
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Atlas › Integer Profiles › Node 9,913,953

9,913,953

3 × 7 × 19 × 24847
Deficient Odd Composite

Starting at 9,913,953, the Collatz iteration reaches 1 after 176 steps. The first transition is 29741860; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 19 × 24847
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,902,720
Proper Divisor Sum 5,988,767
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9913933 ← → #9913957

Radix Representation

Decimal 9913953
Binary 100101110100011001100001 (24 bits)
Octal 0o45643141
Hexadecimal 0x974661

Divisor Catalog (16)

1 3 7 19 21 57 133 399 24,847 74,541 173,929 472,093 521,787 1,416,279 3,304,651 9,913,953

Collatz Trajectory (176 steps to reach 1)

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

9,913,953 29,741,860 14,870,930 7,435,465 22,306,396 11,153,198 5,576,599 16,729,798 8,364,899 25,094,698 12,547,349 37,642,048 18,821,024 9,410,512 4,705,256 2,352,628 1,176,314 588,157 1,764,472 882,236 441,118 220,559 661,678 330,839 992,518 496,259 1,488,778 744,389 2,233,168 1,116,584 558,292 279,146 139,573 418,720 209,360 104,680 52,340 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748

More profiles

2,039,061 4,550,317 5,614,191 8,984,852 1,800,191 9,120,215 2,463,066 5,640,287 5,445,325 547,031 3,969,542 9,045,940 9,756,355 374,810 3,819,150 5,499,018
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