7,425,194

2 × 7 × 53 × 10007

Starting at 7,425,194, the Collatz iteration reaches 1 after 129 steps. The first transition is 3712597; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 53 × 10007

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,970,368

Proper Divisor Sum 5,545,174

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7425193 ← → #7425199

Radix Representation

Decimal	7425194
Binary	11100010100110010101010 (23 bits)
Octal	0o34246252
Hexadecimal	0x714CAA

Divisor Catalog (16)

1 2 7 14 53 106 371 742 10,007 20,014 70,049 140,098 530,371 1,060,742 3,712,597 7,425,194

Collatz Trajectory (129 steps to reach 1)

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

7,425,194 3,712,597 11,137,792 5,568,896 2,784,448 1,392,224 696,112 348,056 174,028 87,014 43,507 130,522 65,261 195,784 97,892 48,946 24,473 73,420 36,710 18,355 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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