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Atlas › Integer Profiles › Node 9,836,752

9,836,752

24 × 139 × 4423
Deficient Even Composite

9,836,752 factors as 2^4 × 139 × 4423. Its 20 positive divisors give a proper-divisor sum of 9,363,408, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^4 × 139 × 4423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,200,160
Proper Divisor Sum 9,363,408
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9836719 ← → #9836759

Radix Representation

Decimal 9836752
Binary 100101100001100011010000 (24 bits)
Octal 0o45414320
Hexadecimal 0x9618D0

Divisor Catalog (20)

1 2 4 8 16 139 278 556 1,112 2,224 4,423 8,846 17,692 35,384 70,768 614,797 1,229,594 2,459,188 4,918,376 9,836,752

Collatz Trajectory (88 steps to reach 1)

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

9,836,752 4,918,376 2,459,188 1,229,594 614,797 1,844,392 922,196 461,098 230,549 691,648 345,824 172,912 86,456 43,228 21,614 10,807 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289

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