7,997,091

3 × 41 × 79 × 823

7,997,091 is odd and not a perfect square. Its factorization is 3 × 41 × 79 × 823 and its 16 divisors sum to 11,074,560.

Prime Factor Structure

Factorization String 3 × 41 × 79 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,074,560

Proper Divisor Sum 3,077,469

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7997083 ← → #7997107

Radix Representation

Decimal	7997091
Binary	11110100000011010100011 (23 bits)
Octal	0o36403243
Hexadecimal	0x7A06A3

Divisor Catalog (16)

1 3 41 79 123 237 823 2,469 3,239 9,717 33,743 65,017 101,229 195,051 2,665,697 7,997,091

Collatz Trajectory (168 steps to reach 1)

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

7,997,091 23,991,274 11,995,637 35,986,912 17,993,456 8,996,728 4,498,364 2,249,182 1,124,591 3,373,774 1,686,887 5,060,662 2,530,331 7,590,994 3,795,497 11,386,492 5,693,246 2,846,623 8,539,870 4,269,935 12,809,806 6,404,903 19,214,710 9,607,355 28,822,066 14,411,033 43,233,100 21,616,550 10,808,275 32,424,826 16,212,413 48,637,240 24,318,620 12,159,310 6,079,655 18,238,966 9,119,483 27,358,450 13,679,225 41,037,676 20,518,838 10,259,419 30,778,258 15,389,129 46,167,388 23,083,694 11,541,847 34,625,542 17,312,771 51,938,314 25,969,157 77,907,472 38,953,736 19,476,868 9,738,434 4,869,217 14,607,652 7,303,826 3,651,913 10,955,740

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