λ
Harmonic Matrix

61,707

3 × 67 × 307
Deficient Odd Composite

61,707 has digital root 3. The neighboring primes are 61703 and 61717; its proper-divisor sum differs from the starting integer by -39,638.

Prime Factor Structure

Factorization String 3 × 67 × 307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 83,776
Proper Divisor Sum 22,069
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #61703 ← → #61717

Radix Representation

Decimal 61707
Binary 1111000100001011 (16 bits)
Octal 0o170413
Hexadecimal 0xF10B

Divisor Catalog (8)

1 3 67 201 307 921 20,569 61,707

Collatz Trajectory (148 steps to reach 1)

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

61,707 185,122 92,561 277,684 138,842 69,421 208,264 104,132 52,066 26,033 78,100 39,050 19,525 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

More profiles

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