7,954,764

2² × 3 × 662897

Starting at 7,954,764, the Collatz iteration reaches 1 after 124 steps. The first transition is 3977382; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 662897

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,561,144

Proper Divisor Sum 10,606,380

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7954763 ← → #7954777

Radix Representation

Decimal	7954764
Binary	11110010110000101001100 (23 bits)
Octal	0o36260514
Hexadecimal	0x79614C

Divisor Catalog (12)

1 2 3 4 6 12 662,897 1,325,794 1,988,691 2,651,588 3,977,382 7,954,764

Collatz Trajectory (124 steps to reach 1)

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

7,954,764 3,977,382 1,988,691 5,966,074 2,983,037 8,949,112 4,474,556 2,237,278 1,118,639 3,355,918 1,677,959 5,033,878 2,516,939 7,550,818 3,775,409 11,326,228 5,663,114 2,831,557 8,494,672 4,247,336 2,123,668 1,061,834 530,917 1,592,752 796,376 398,188 199,094 99,547 298,642 149,321 447,964 223,982 111,991 335,974 167,987 503,962 251,981 755,944 377,972 188,986 94,493 283,480 141,740 70,870 35,435 106,306 53,153 159,460 79,730 39,865 119,596 59,798 29,899 89,698 44,849 134,548 67,274 33,637 100,912 50,456

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