101,478

2 × 3 × 13 × 1301

Starting at 101,478, the Collatz iteration reaches 1 after 203 steps. The first transition is 50739; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 1301

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 218,736

Proper Divisor Sum 117,258

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #101477 ← → #101483

Radix Representation

Decimal	101478
Binary	11000110001100110 (17 bits)
Octal	0o306146
Hexadecimal	0x18C66

Divisor Catalog (16)

1 2 3 6 13 26 39 78 1,301 2,602 3,903 7,806 16,913 33,826 50,739 101,478

Collatz Trajectory (203 steps to reach 1)

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

101,478 50,739 152,218 76,109 228,328 114,164 57,082 28,541 85,624 42,812 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863

← Previous Integer #101,477 Browse Full Index Next Integer #101,479 →