7,253,910

2 × 3² × 5 × 80599

Starting at 7,253,910, the Collatz iteration reaches 1 after 235 steps. The first transition is 3626955; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 80599

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,860,400

Proper Divisor Sum 11,606,490

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7253903 ← → #7253927

Radix Representation

Decimal	7253910
Binary	11011101010111110010110 (23 bits)
Octal	0o33527626
Hexadecimal	0x6EAF96

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 80,599 161,198 241,797 402,995 483,594 725,391 805,990 1,208,985 1,450,782 2,417,970 3,626,955 7,253,910

Collatz Trajectory (235 steps to reach 1)

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

7,253,910 3,626,955 10,880,866 5,440,433 16,321,300 8,160,650 4,080,325 12,240,976 6,120,488 3,060,244 1,530,122 765,061 2,295,184 1,147,592 573,796 286,898 143,449 430,348 215,174 107,587 322,762 161,381 484,144 242,072 121,036 60,518 30,259 90,778 45,389 136,168 68,084 34,042 17,021 51,064 25,532 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018

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