6,972,458

2 × 31 × 112459

Starting at 6,972,458, the Collatz iteration reaches 1 after 98 steps. The first transition is 3486229; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 112459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,796,160

Proper Divisor Sum 3,823,702

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6972451 ← → #6972467

Radix Representation

Decimal	6972458
Binary	11010100110010000101010 (23 bits)
Octal	0o32462052
Hexadecimal	0x6A642A

Divisor Catalog (8)

1 2 31 62 112,459 224,918 3,486,229 6,972,458

Collatz Trajectory (98 steps to reach 1)

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

6,972,458 3,486,229 10,458,688 5,229,344 2,614,672 1,307,336 653,668 326,834 163,417 490,252 245,126 122,563 367,690 183,845 551,536 275,768 137,884 68,942 34,471 103,414 51,707 155,122 77,561 232,684 116,342 58,171 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229

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