λ
Integer Codex

7,697,236

22 × 1193 × 1613
Deficient Even Composite

For 7,697,236, the 12 positive divisors have a total of 13,489,812. Removing 7,697,236 leaves 5,792,576, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 1193 × 1613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,489,812
Proper Divisor Sum 5,792,576
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7697231 ← → #7697257

Radix Representation

Decimal 7697236
Binary 11101010111001101010100 (23 bits)
Octal 0o35271524
Hexadecimal 0x757354

Divisor Catalog (12)

1 2 4 1,193 1,613 2,386 3,226 4,772 6,452 1,924,309 3,848,618 7,697,236

Collatz Trajectory (98 steps to reach 1)

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

7,697,236 3,848,618 1,924,309 5,772,928 2,886,464 1,443,232 721,616 360,808 180,404 90,202 45,101 135,304 67,652 33,826 16,913 50,740 25,370 12,685 38,056 19,028 9,514 4,757 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

More profiles

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