λ
Prime Ledger

77,601

3 × 25867
Deficient Odd Composite

77,601 has the prime decomposition 3 × 25867. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 25867
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 103,472
Proper Divisor Sum 25,871
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #77591 ← → #77611

Radix Representation

Decimal 77601
Binary 10010111100100001 (17 bits)
Octal 0o227441
Hexadecimal 0x12F21

Divisor Catalog (4)

1 3 25,867 77,601

Collatz Trajectory (76 steps to reach 1)

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

77,601 232,804 116,402 58,201 174,604 87,302 43,651 130,954 65,477 196,432 98,216 49,108 24,554 12,277 36,832 18,416 9,208 4,604 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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