7,493,101

7 × 11 × 23 × 4231

Starting at 7,493,101, the Collatz iteration reaches 1 after 111 steps. The first transition is 22479304; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 23 × 4231

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,750,528

Proper Divisor Sum 2,257,427

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7493099 ← → #7493111

Radix Representation

Decimal	7493101
Binary	11100100101010111101101 (23 bits)
Octal	0o34452755
Hexadecimal	0x7255ED

Divisor Catalog (16)

1 7 11 23 77 161 253 1,771 4,231 29,617 46,541 97,313 325,787 681,191 1,070,443 7,493,101

Collatz Trajectory (111 steps to reach 1)

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

7,493,101 22,479,304 11,239,652 5,619,826 2,809,913 8,429,740 4,214,870 2,107,435 6,322,306 3,161,153 9,483,460 4,741,730 2,370,865 7,112,596 3,556,298 1,778,149 5,334,448 2,667,224 1,333,612 666,806 333,403 1,000,210 500,105 1,500,316 750,158 375,079 1,125,238 562,619 1,687,858 843,929 2,531,788 1,265,894 632,947 1,898,842 949,421 2,848,264 1,424,132 712,066 356,033 1,068,100 534,050 267,025 801,076 400,538 200,269 600,808 300,404 150,202 75,101 225,304 112,652 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921

← Previous Integer #7,493,100 Browse Full Index Next Integer #7,493,102 →