7,397,010

2 × 3² × 5 × 82189

Starting at 7,397,010, the Collatz iteration reaches 1 after 310 steps. The first transition is 3698505; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 82189

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,232,460

Proper Divisor Sum 11,835,450

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7397009 ← → #7397063

Radix Representation

Decimal	7397010
Binary	11100001101111010010010 (23 bits)
Octal	0o34157222
Hexadecimal	0x70DE92

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 82,189 164,378 246,567 410,945 493,134 739,701 821,890 1,232,835 1,479,402 2,465,670 3,698,505 7,397,010

Collatz Trajectory (310 steps to reach 1)

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

7,397,010 3,698,505 11,095,516 5,547,758 2,773,879 8,321,638 4,160,819 12,482,458 6,241,229 18,723,688 9,361,844 4,680,922 2,340,461 7,021,384 3,510,692 1,755,346 877,673 2,633,020 1,316,510 658,255 1,974,766 987,383 2,962,150 1,481,075 4,443,226 2,221,613 6,664,840 3,332,420 1,666,210 833,105 2,499,316 1,249,658 624,829 1,874,488 937,244 468,622 234,311 702,934 351,467 1,054,402 527,201 1,581,604 790,802 395,401 1,186,204 593,102 296,551 889,654 444,827 1,334,482 667,241 2,001,724 1,000,862 500,431 1,501,294 750,647 2,251,942 1,125,971 3,377,914 1,688,957

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