7,493,078

2 × 23 × 29 × 41 × 137

Starting at 7,493,078, the Collatz iteration reaches 1 after 134 steps. The first transition is 3746539; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 29 × 41 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,519,360

Proper Divisor Sum 5,026,282

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7493077 ← → #7493081

Radix Representation

Decimal	7493078
Binary	11100100101010111010110 (23 bits)
Octal	0o34452726
Hexadecimal	0x7255D6

Divisor Catalog (32)

1 2 23 29 41 46 58 82 137 274 667 943 1,189 1,334 1,886 2,378 3,151 3,973 5,617 6,302 7,946 11,234 27,347 54,694 91,379 129,191 162,893 182,758 258,382 325,786 3,746,539 7,493,078

Collatz Trajectory (134 steps to reach 1)

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

7,493,078 3,746,539 11,239,618 5,619,809 16,859,428 8,429,714 4,214,857 12,644,572 6,322,286 3,161,143 9,483,430 4,741,715 14,225,146 7,112,573 21,337,720 10,668,860 5,334,430 2,667,215 8,001,646 4,000,823 12,002,470 6,001,235 18,003,706 9,001,853 27,005,560 13,502,780 6,751,390 3,375,695 10,127,086 5,063,543 15,190,630 7,595,315 22,785,946 11,392,973 34,178,920 17,089,460 8,544,730 4,272,365 12,817,096 6,408,548 3,204,274 1,602,137 4,806,412 2,403,206 1,201,603 3,604,810 1,802,405 5,407,216 2,703,608 1,351,804 675,902 337,951 1,013,854 506,927 1,520,782 760,391 2,281,174 1,140,587 3,421,762 1,710,881

← Previous Integer #7,493,077 Browse Full Index Next Integer #7,493,079 →