7,396,724

2² × 31 × 59651

Starting at 7,396,724, the Collatz iteration reaches 1 after 85 steps. The first transition is 3698362; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 59651

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,362,048

Proper Divisor Sum 5,965,324

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7396723 ← → #7396729

Radix Representation

Decimal	7396724
Binary	11100001101110101110100 (23 bits)
Octal	0o34156564
Hexadecimal	0x70DD74

Divisor Catalog (12)

1 2 4 31 62 124 59,651 119,302 238,604 1,849,181 3,698,362 7,396,724

Collatz Trajectory (85 steps to reach 1)

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

7,396,724 3,698,362 1,849,181 5,547,544 2,773,772 1,386,886 693,443 2,080,330 1,040,165 3,120,496 1,560,248 780,124 390,062 195,031 585,094 292,547 877,642 438,821 1,316,464 658,232 329,116 164,558 82,279 246,838 123,419 370,258 185,129 555,388 277,694 138,847 416,542 208,271 624,814 312,407 937,222 468,611 1,405,834 702,917 2,108,752 1,054,376 527,188 263,594 131,797 395,392 197,696 98,848 49,424 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304

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