64,101

3 × 23 × 929

Starting at 64,101, the Collatz iteration reaches 1 after 99 steps. The first transition is 192304; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 929

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 89,280

Proper Divisor Sum 25,179

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #64091 ← → #64109

Radix Representation

Decimal	64101
Binary	1111101001100101 (16 bits)
Octal	0o175145
Hexadecimal	0xFA65

Divisor Catalog (8)

1 3 23 69 929 2,787 21,367 64,101

Collatz Trajectory (99 steps to reach 1)

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

64,101 192,304 96,152 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407

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