λ
Sigma Notebook

7,634,887

13 × 17 × 179 × 193
Deficient Odd Composite

7,634,887 is odd and not a perfect square. Its factorization is 13 × 17 × 179 × 193 and its 16 divisors sum to 8,799,840.

Prime Factor Structure

Factorization String 13 × 17 × 179 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,799,840
Proper Divisor Sum 1,164,953
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7634867 ← → #7634899

Radix Representation

Decimal 7634887
Binary 11101000111111111000111 (23 bits)
Octal 0o35077707
Hexadecimal 0x747FC7

Divisor Catalog (16)

1 13 17 179 193 221 2,327 2,509 3,043 3,281 34,547 39,559 42,653 449,111 587,299 7,634,887

Collatz Trajectory (160 steps to reach 1)

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

7,634,887 22,904,662 11,452,331 34,356,994 17,178,497 51,535,492 25,767,746 12,883,873 38,651,620 19,325,810 9,662,905 28,988,716 14,494,358 7,247,179 21,741,538 10,870,769 32,612,308 16,306,154 8,153,077 24,459,232 12,229,616 6,114,808 3,057,404 1,528,702 764,351 2,293,054 1,146,527 3,439,582 1,719,791 5,159,374 2,579,687 7,739,062 3,869,531 11,608,594 5,804,297 17,412,892 8,706,446 4,353,223 13,059,670 6,529,835 19,589,506 9,794,753 29,384,260 14,692,130 7,346,065 22,038,196 11,019,098 5,509,549 16,528,648 8,264,324 4,132,162 2,066,081 6,198,244 3,099,122 1,549,561 4,648,684 2,324,342 1,162,171 3,486,514 1,743,257

More profiles

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