7,397,592

2³ × 3 × 31 × 61 × 163

Starting at 7,397,592, the Collatz iteration reaches 1 after 191 steps. The first transition is 3698796; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 61 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,522,560

Proper Divisor Sum 12,124,968

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7397557 ← → #7397609

Radix Representation

Decimal	7397592
Binary	11100001110000011011000 (23 bits)
Octal	0o34160330
Hexadecimal	0x70E0D8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 31 61 62 93 122 124 163 183 186 244 248 326 366 372 488 489 652 732 744 978 1,304 1,464 1,891 1,956 3,782 3,912 5,053 5,673 7,564 9,943 10,106 11,346 15,128 15,159 19,886 20,212 22,692 29,829 30,318 39,772 40,424 45,384 59,658 60,636 79,544 119,316 121,272 238,632 308,233 616,466 924,699 1,232,932

Collatz Trajectory (191 steps to reach 1)

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

7,397,592 3,698,796 1,849,398 924,699 2,774,098 1,387,049 4,161,148 2,080,574 1,040,287 3,120,862 1,560,431 4,681,294 2,340,647 7,021,942 3,510,971 10,532,914 5,266,457 15,799,372 7,899,686 3,949,843 11,849,530 5,924,765 17,774,296 8,887,148 4,443,574 2,221,787 6,665,362 3,332,681 9,998,044 4,999,022 2,499,511 7,498,534 3,749,267 11,247,802 5,623,901 16,871,704 8,435,852 4,217,926 2,108,963 6,326,890 3,163,445 9,490,336 4,745,168 2,372,584 1,186,292 593,146 296,573 889,720 444,860 222,430 111,215 333,646 166,823 500,470 250,235 750,706 375,353 1,126,060 563,030 281,515

← Previous Integer #7,397,591 Browse Full Index Next Integer #7,397,593 →