538,253

31 × 97 × 179

Starting at 538,253, the Collatz iteration reaches 1 after 71 steps. The first transition is 1614760; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 97 × 179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 564,480

Proper Divisor Sum 26,227

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #538249 ← → #538259

Radix Representation

Decimal	538253
Binary	10000011011010001101 (20 bits)
Octal	0o2033215
Hexadecimal	0x8368D

Divisor Catalog (8)

1 31 97 179 3,007 5,549 17,363 538,253

Collatz Trajectory (71 steps to reach 1)

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

538,253 1,614,760 807,380 403,690 201,845 605,536 302,768 151,384 75,692 37,846 18,923 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17

More profiles

Browse other published profiles and their separate link collections.

Profile #1,085,388 Profile #2,866,586 Profile #2,416,671 Profile #5,064,289 Profile #3,469,465 Profile #4,735,257 Profile #3,997,595 Profile #8,533,971

← Previous Integer #538,252 Browse Full Index Next Integer #538,254 →