λ
Harmonic Matrix

86,981

86981
Deficient Odd Prime

86,981 has digital root 5. The neighboring primes are 86969 and 86993; its proper-divisor sum differs from the starting integer by -86,980.

Prime Factor Structure

Factorization String 86981
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 86,982
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #86969 ← → #86993

Radix Representation

Decimal 86981
Binary 10101001111000101 (17 bits)
Octal 0o251705
Hexadecimal 0x153C5

Divisor Catalog (2)

1 86,981

Collatz Trajectory (71 steps to reach 1)

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

86,981 260,944 130,472 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

More profiles

← Previous Integer #86,980 Browse Full Index Next Integer #86,982 →