λ
Harmonic Matrix

61,108

22 × 15277
Deficient Even Composite

61,108 has digital root 7. The neighboring primes are 61099 and 61121; its proper-divisor sum differs from the starting integer by -15,270.

Prime Factor Structure

Factorization String 2^2 × 15277
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 106,946
Proper Divisor Sum 45,838
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #61099 ← → #61121

Radix Representation

Decimal 61108
Binary 1110111010110100 (16 bits)
Octal 0o167264
Hexadecimal 0xEEB4

Divisor Catalog (6)

1 2 4 15,277 30,554 61,108

Collatz Trajectory (34 steps to reach 1)

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

61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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