7,110,692

2² × 17 × 53 × 1973

Starting at 7,110,692, the Collatz iteration reaches 1 after 121 steps. The first transition is 3555346; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 53 × 1973

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,431,096

Proper Divisor Sum 6,320,404

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7110689 ← → #7110707

Radix Representation

Decimal	7110692
Binary	11011001000000000100100 (23 bits)
Octal	0o33100044
Hexadecimal	0x6C8024

Divisor Catalog (24)

1 2 4 17 34 53 68 106 212 901 1,802 1,973 3,604 3,946 7,892 33,541 67,082 104,569 134,164 209,138 418,276 1,777,673 3,555,346 7,110,692

Collatz Trajectory (121 steps to reach 1)

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

7,110,692 3,555,346 1,777,673 5,333,020 2,666,510 1,333,255 3,999,766 1,999,883 5,999,650 2,999,825 8,999,476 4,499,738 2,249,869 6,749,608 3,374,804 1,687,402 843,701 2,531,104 1,265,552 632,776 316,388 158,194 79,097 237,292 118,646 59,323 177,970 88,985 266,956 133,478 66,739 200,218 100,109 300,328 150,164 75,082 37,541 112,624 56,312 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107

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