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Atlas › Integer Profiles › Node 7,939,152

7,939,152

24 × 32 × 13 × 4241
Abundant Even Composite

7,939,152 factors as 2^4 × 3^2 × 13 × 4241. Its 60 positive divisors give a proper-divisor sum of 15,994,212, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 4241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 23,933,364
Proper Divisor Sum 15,994,212
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7939147 ← → #7939157

Radix Representation

Decimal 7939152
Binary 11110010010010001010000 (23 bits)
Octal 0o36222120
Hexadecimal 0x792450

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,872 4,241 8,482 12,723 16,964 25,446 33,928 38,169 50,892 55,133 67,856 76,338 101,784 110,266 152,676 165,399 203,568 220,532 305,352 330,798 441,064 496,197 610,704 661,596 882,128 992,394 1,323,192 1,984,788 2,646,384 3,969,576 7,939,152

Collatz Trajectory (168 steps to reach 1)

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

7,939,152 3,969,576 1,984,788 992,394 496,197 1,488,592 744,296 372,148 186,074 93,037 279,112 139,556 69,778 34,889 104,668 52,334 26,167 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669 503,008 251,504 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170

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