λ
Harmonic Matrix

7,797,979

7 × 1113997
Deficient Odd Composite

7,797,979 has digital root 1. The neighboring primes are 7797953 and 7797983; its proper-divisor sum differs from the starting integer by -6,683,974.

Prime Factor Structure

Factorization String 7 × 1113997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,911,984
Proper Divisor Sum 1,114,005
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #7797953 ← → #7797983

Radix Representation

Decimal 7797979
Binary 11101101111110011011011 (23 bits)
Octal 0o35576333
Hexadecimal 0x76FCDB

Divisor Catalog (4)

1 7 1,113,997 7,797,979

Collatz Trajectory (155 steps to reach 1)

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

7,797,979 23,393,938 11,696,969 35,090,908 17,545,454 8,772,727 26,318,182 13,159,091 39,477,274 19,738,637 59,215,912 29,607,956 14,803,978 7,401,989 22,205,968 11,102,984 5,551,492 2,775,746 1,387,873 4,163,620 2,081,810 1,040,905 3,122,716 1,561,358 780,679 2,342,038 1,171,019 3,513,058 1,756,529 5,269,588 2,634,794 1,317,397 3,952,192 1,976,096 988,048 494,024 247,012 123,506 61,753 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764

More profiles

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