2,767,976

2³ × 345997

2,767,976 factors as 2^3 × 345997. Its 8 positive divisors give a proper-divisor sum of 2,421,994, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^3 × 345997

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,189,970

Proper Divisor Sum 2,421,994

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #2767949 ← → #2767993

Radix Representation

Decimal	2767976
Binary	1010100011110001101000 (22 bits)
Octal	0o12436150
Hexadecimal	0x2A3C68

Divisor Catalog (8)

1 2 4 8 345,997 691,994 1,383,988 2,767,976

Collatz Trajectory (169 steps to reach 1)

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

2,767,976 1,383,988 691,994 345,997 1,037,992 518,996 259,498 129,749 389,248 194,624 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82

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