7,698,148

2² × 1924537

Starting at 7,698,148, the Collatz iteration reaches 1 after 98 steps. The first transition is 3849074; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1924537

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,471,766

Proper Divisor Sum 5,773,618

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7698133 ← → #7698151

Radix Representation

Decimal	7698148
Binary	11101010111011011100100 (23 bits)
Octal	0o35273344
Hexadecimal	0x7576E4

Divisor Catalog (6)

1 2 4 1,924,537 3,849,074 7,698,148

Collatz Trajectory (98 steps to reach 1)

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

7,698,148 3,849,074 1,924,537 5,773,612 2,886,806 1,443,403 4,330,210 2,165,105 6,495,316 3,247,658 1,623,829 4,871,488 2,435,744 1,217,872 608,936 304,468 152,234 76,117 228,352 114,176 57,088 28,544 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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