7,427,724

2² × 3 × 31 × 41 × 487

Starting at 7,427,724, the Collatz iteration reaches 1 after 80 steps. The first transition is 3713862; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 41 × 487

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,364,416

Proper Divisor Sum 10,936,692

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7427701 ← → #7427731

Radix Representation

Decimal	7427724
Binary	11100010101011010001100 (23 bits)
Octal	0o34253214
Hexadecimal	0x71568C

Divisor Catalog (48)

1 2 3 4 6 12 31 41 62 82 93 123 124 164 186 246 372 487 492 974 1,271 1,461 1,948 2,542 2,922 3,813 5,084 5,844 7,626 15,097 15,252 19,967 30,194 39,934 45,291 59,901 60,388 79,868 90,582 119,802 181,164 239,604 618,977 1,237,954 1,856,931 2,475,908 3,713,862 7,427,724

Collatz Trajectory (80 steps to reach 1)

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

7,427,724 3,713,862 1,856,931 5,570,794 2,785,397 8,356,192 4,178,096 2,089,048 1,044,524 522,262 261,131 783,394 391,697 1,175,092 587,546 293,773 881,320 440,660 220,330 110,165 330,496 165,248 82,624 41,312 20,656 10,328 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

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