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Atlas › Integer Profiles › Node 7,926,860

7,926,860

22 × 5 × 29 × 79 × 173
Abundant Even Composite

7,926,860 factors as 2^2 × 5 × 29 × 79 × 173. Its 48 positive divisors give a proper-divisor sum of 9,612,340, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 79 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,539,200
Proper Divisor Sum 9,612,340
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7926859 ← → #7926869

Radix Representation

Decimal 7926860
Binary 11110001111010001001100 (23 bits)
Octal 0o36172114
Hexadecimal 0x78F44C

Divisor Catalog (48)

1 2 4 5 10 20 29 58 79 116 145 158 173 290 316 346 395 580 692 790 865 1,580 1,730 2,291 3,460 4,582 5,017 9,164 10,034 11,455 13,667 20,068 22,910 25,085 27,334 45,820 50,170 54,668 68,335 100,340 136,670 273,340 396,343 792,686 1,585,372 1,981,715 3,963,430 7,926,860

Collatz Trajectory (217 steps to reach 1)

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

7,926,860 3,963,430 1,981,715 5,945,146 2,972,573 8,917,720 4,458,860 2,229,430 1,114,715 3,344,146 1,672,073 5,016,220 2,508,110 1,254,055 3,762,166 1,881,083 5,643,250 2,821,625 8,464,876 4,232,438 2,116,219 6,348,658 3,174,329 9,522,988 4,761,494 2,380,747 7,142,242 3,571,121 10,713,364 5,356,682 2,678,341 8,035,024 4,017,512 2,008,756 1,004,378 502,189 1,506,568 753,284 376,642 188,321 564,964 282,482 141,241 423,724 211,862 105,931 317,794 158,897 476,692 238,346 119,173 357,520 178,760 89,380 44,690 22,345 67,036 33,518 16,759 50,278

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