7,576,562

2 × 7 × 53 × 10211

Starting at 7,576,562, the Collatz iteration reaches 1 after 67 steps. The first transition is 3788281; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 53 × 10211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,234,752

Proper Divisor Sum 5,658,190

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7576559 ← → #7576567

Radix Representation

Decimal	7576562
Binary	11100111001101111110010 (23 bits)
Octal	0o34715762
Hexadecimal	0x739BF2

Divisor Catalog (16)

1 2 7 14 53 106 371 742 10,211 20,422 71,477 142,954 541,183 1,082,366 3,788,281 7,576,562

Collatz Trajectory (67 steps to reach 1)

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

7,576,562 3,788,281 11,364,844 5,682,422 2,841,211 8,523,634 4,261,817 12,785,452 6,392,726 3,196,363 9,589,090 4,794,545 14,383,636 7,191,818 3,595,909 10,787,728 5,393,864 2,696,932 1,348,466 674,233 2,022,700 1,011,350 505,675 1,517,026 758,513 2,275,540 1,137,770 568,885 1,706,656 853,328 426,664 213,332 106,666 53,333 160,000 80,000 40,000 20,000 10,000 5,000 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40

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