λ
Prime Ledger

7,761,987

34 × 79 × 1213
Deficient Odd Composite

7,761,987 has the prime decomposition 3^4 × 79 × 1213. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 79 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,751,520
Proper Divisor Sum 3,989,533
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7761967 ← → #7761989

Radix Representation

Decimal 7761987
Binary 11101100111000001000011 (23 bits)
Octal 0o35470103
Hexadecimal 0x767043

Divisor Catalog (20)

1 3 9 27 79 81 237 711 1,213 2,133 3,639 6,399 10,917 32,751 95,827 98,253 287,481 862,443 2,587,329 7,761,987

Collatz Trajectory (217 steps to reach 1)

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

7,761,987 23,285,962 11,642,981 34,928,944 17,464,472 8,732,236 4,366,118 2,183,059 6,549,178 3,274,589 9,823,768 4,911,884 2,455,942 1,227,971 3,683,914 1,841,957 5,525,872 2,762,936 1,381,468 690,734 345,367 1,036,102 518,051 1,554,154 777,077 2,331,232 1,165,616 582,808 291,404 145,702 72,851 218,554 109,277 327,832 163,916 81,958 40,979 122,938 61,469 184,408 92,204 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207

More profiles

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