λ
Ratio Atlas

8,610,319

8610319
Deficient Odd Prime

8,610,319 factors as 8610319. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 8610319
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,610,320
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8610311 ← → #8610323

Radix Representation

Decimal 8610319
Binary 100000110110001000001111 (24 bits)
Octal 0o40661017
Hexadecimal 0x83620F

Divisor Catalog (2)

1 8,610,319

Collatz Trajectory (181 steps to reach 1)

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

8,610,319 25,830,958 12,915,479 38,746,438 19,373,219 58,119,658 29,059,829 87,179,488 43,589,744 21,794,872 10,897,436 5,448,718 2,724,359 8,173,078 4,086,539 12,259,618 6,129,809 18,389,428 9,194,714 4,597,357 13,792,072 6,896,036 3,448,018 1,724,009 5,172,028 2,586,014 1,293,007 3,879,022 1,939,511 5,818,534 2,909,267 8,727,802 4,363,901 13,091,704 6,545,852 3,272,926 1,636,463 4,909,390 2,454,695 7,364,086 3,682,043 11,046,130 5,523,065 16,569,196 8,284,598 4,142,299 12,426,898 6,213,449 18,640,348 9,320,174 4,660,087 13,980,262 6,990,131 20,970,394 10,485,197 31,455,592 15,727,796 7,863,898 3,931,949 11,795,848

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