7,925,836

2² × 83 × 23873

Starting at 7,925,836, the Collatz iteration reaches 1 after 168 steps. The first transition is 3962918; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 83 × 23873

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,037,912

Proper Divisor Sum 6,112,076

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7925789 ← → #7925837

Radix Representation

Decimal	7925836
Binary	11110001111000001001100 (23 bits)
Octal	0o36170114
Hexadecimal	0x78F04C

Divisor Catalog (12)

1 2 4 83 166 332 23,873 47,746 95,492 1,981,459 3,962,918 7,925,836

Collatz Trajectory (168 steps to reach 1)

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

7,925,836 3,962,918 1,981,459 5,944,378 2,972,189 8,916,568 4,458,284 2,229,142 1,114,571 3,343,714 1,671,857 5,015,572 2,507,786 1,253,893 3,761,680 1,880,840 940,420 470,210 235,105 705,316 352,658 176,329 528,988 264,494 132,247 396,742 198,371 595,114 297,557 892,672 446,336 223,168 111,584 55,792 27,896 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381

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