2,452,398

2 × 3 × 13 × 23 × 1367

Starting at 2,452,398, the Collatz iteration reaches 1 after 99 steps. The first transition is 1226199; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 23 × 1367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,515,776

Proper Divisor Sum 3,063,378

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2452393 ← → #2452399

Radix Representation

Decimal	2452398
Binary	1001010110101110101110 (22 bits)
Octal	0o11265656
Hexadecimal	0x256BAE

Divisor Catalog (32)

1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1,367 1,794 2,734 4,101 8,202 17,771 31,441 35,542 53,313 62,882 94,323 106,626 188,646 408,733 817,466 1,226,199 2,452,398

Collatz Trajectory (99 steps to reach 1)

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

2,452,398 1,226,199 3,678,598 1,839,299 5,517,898 2,758,949 8,276,848 4,138,424 2,069,212 1,034,606 517,303 1,551,910 775,955 2,327,866 1,163,933 3,491,800 1,745,900 872,950 436,475 1,309,426 654,713 1,964,140 982,070 491,035 1,473,106 736,553 2,209,660 1,104,830 552,415 1,657,246 828,623 2,485,870 1,242,935 3,728,806 1,864,403 5,593,210 2,796,605 8,389,816 4,194,908 2,097,454 1,048,727 3,146,182 1,573,091 4,719,274 2,359,637 7,078,912 3,539,456 1,769,728 884,864 442,432 221,216 110,608 55,304 27,652 13,826 6,913 20,740 10,370 5,185 15,556

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