71,645

5 × 7 × 23 × 89

Starting at 71,645, the Collatz iteration reaches 1 after 99 steps. The first transition is 214936; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 23 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 103,680

Proper Divisor Sum 32,035

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #71633 ← → #71647

Radix Representation

Decimal	71645
Binary	10001011111011101 (17 bits)
Octal	0o213735
Hexadecimal	0x117DD

Divisor Catalog (16)

1 5 7 23 35 89 115 161 445 623 805 2,047 3,115 10,235 14,329 71,645

Collatz Trajectory (99 steps to reach 1)

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

71,645 214,936 107,468 53,734 26,867 80,602 40,301 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455

← Previous Integer #71,644 Browse Full Index Next Integer #71,646 →