179,577

3⁵ × 739

Starting at 179,577, the Collatz iteration reaches 1 after 72 steps. The first transition is 538732; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 739

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 269,360

Proper Divisor Sum 89,783

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #179573 ← → #179579

Radix Representation

Decimal	179577
Binary	101011110101111001 (18 bits)
Octal	0o536571
Hexadecimal	0x2BD79

Divisor Catalog (12)

1 3 9 27 81 243 739 2,217 6,651 19,953 59,859 179,577

Collatz Trajectory (72 steps to reach 1)

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

179,577 538,732 269,366 134,683 404,050 202,025 606,076 303,038 151,519 454,558 227,279 681,838 340,919 1,022,758 511,379 1,534,138 767,069 2,301,208 1,150,604 575,302 287,651 862,954 431,477 1,294,432 647,216 323,608 161,804 80,902 40,451 121,354 60,677 182,032 91,016 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

← Previous Integer #179,576 Browse Full Index Next Integer #179,578 →