λ
Harmonic Matrix

7,680,989

7680989
Deficient Odd Prime

7,680,989 has digital root 2. The neighboring primes are 7680979 and 7681007; its proper-divisor sum differs from the starting integer by -7,680,988.

Prime Factor Structure

Factorization String 7680989
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,680,990
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7680979 ← → #7681007

Radix Representation

Decimal 7680989
Binary 11101010011001111011101 (23 bits)
Octal 0o35231735
Hexadecimal 0x7533DD

Divisor Catalog (2)

Collatz Trajectory (124 steps to reach 1)

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

7,680,989 23,042,968 11,521,484 5,760,742 2,880,371 8,641,114 4,320,557 12,961,672 6,480,836 3,240,418 1,620,209 4,860,628 2,430,314 1,215,157 3,645,472 1,822,736 911,368 455,684 227,842 113,921 341,764 170,882 85,441 256,324 128,162 64,081 192,244 96,122 48,061 144,184 72,092 36,046 18,023 54,070 27,035 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328

More profiles

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