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Atlas › Integer Profiles › Node 8,948,716

8,948,716

22 × 7 × 401 × 797
Abundant Even Composite

8,948,716 factors as 2^2 × 7 × 401 × 797. Its 24 positive divisors give a proper-divisor sum of 9,015,860, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 401 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,964,576
Proper Divisor Sum 9,015,860
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8948711 ← → #8948759

Radix Representation

Decimal 8948716
Binary 100010001000101111101100 (24 bits)
Octal 0o42105754
Hexadecimal 0x888BEC

Divisor Catalog (24)

1 2 4 7 14 28 401 797 802 1,594 1,604 2,807 3,188 5,579 5,614 11,158 11,228 22,316 319,597 639,194 1,278,388 2,237,179 4,474,358 8,948,716

Collatz Trajectory (212 steps to reach 1)

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

8,948,716 4,474,358 2,237,179 6,711,538 3,355,769 10,067,308 5,033,654 2,516,827 7,550,482 3,775,241 11,325,724 5,662,862 2,831,431 8,494,294 4,247,147 12,741,442 6,370,721 19,112,164 9,556,082 4,778,041 14,334,124 7,167,062 3,583,531 10,750,594 5,375,297 16,125,892 8,062,946 4,031,473 12,094,420 6,047,210 3,023,605 9,070,816 4,535,408 2,267,704 1,133,852 566,926 283,463 850,390 425,195 1,275,586 637,793 1,913,380 956,690 478,345 1,435,036 717,518 358,759 1,076,278 538,139 1,614,418 807,209 2,421,628 1,210,814 605,407 1,816,222 908,111 2,724,334 1,362,167 4,086,502 2,043,251

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