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Atlas › Integer Profiles › Node 10,089,952

10,089,952

25 × 71 × 4441
Deficient Even Composite

10,089,952 factors as 2^5 × 71 × 4441. Its 24 positive divisors give a proper-divisor sum of 10,058,960, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^5 × 71 × 4441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,148,912
Proper Divisor Sum 10,058,960
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #10089929 ← → #10089953

Radix Representation

Decimal 10089952
Binary 100110011111010111100000 (24 bits)
Octal 0o46372740
Hexadecimal 0x99F5E0

Divisor Catalog (24)

1 2 4 8 16 32 71 142 284 568 1,136 2,272 4,441 8,882 17,764 35,528 71,056 142,112 315,311 630,622 1,261,244 2,522,488 5,044,976 10,089,952

Collatz Trajectory (207 steps to reach 1)

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

10,089,952 5,044,976 2,522,488 1,261,244 630,622 315,311 945,934 472,967 1,418,902 709,451 2,128,354 1,064,177 3,192,532 1,596,266 798,133 2,394,400 1,197,200 598,600 299,300 149,650 74,825 224,476 112,238 56,119 168,358 84,179 252,538 126,269 378,808 189,404 94,702 47,351 142,054 71,027 213,082 106,541 319,624 159,812 79,906 39,953 119,860 59,930 29,965 89,896 44,948 22,474 11,237 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672

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