7,945,964

2² × 13 × 41 × 3727

Starting at 7,945,964, the Collatz iteration reaches 1 after 129 steps. The first transition is 3972982; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 3727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,344,448

Proper Divisor Sum 7,398,484

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7945963 ← → #7945967

Radix Representation

Decimal	7945964
Binary	11110010011111011101100 (23 bits)
Octal	0o36237354
Hexadecimal	0x793EEC

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,945,964 3,972,982 1,986,491 5,959,474 2,979,737 8,939,212 4,469,606 2,234,803 6,704,410 3,352,205 10,056,616 5,028,308 2,514,154 1,257,077 3,771,232 1,885,616 942,808 471,404 235,702 117,851 353,554 176,777 530,332 265,166 132,583 397,750 198,875 596,626 298,313 894,940 447,470 223,735 671,206 335,603 1,006,810 503,405 1,510,216 755,108 377,554 188,777 566,332 283,166 141,583 424,750 212,375 637,126 318,563 955,690 477,845 1,433,536 716,768 358,384 179,192 89,596 44,798 22,399 67,198 33,599 100,798 50,399

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