λ
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4,606,196

22 × 72 × 71 × 331
Abundant Even Composite

4,606,196 factors as 2^2 × 7^2 × 71 × 331. Its 36 positive divisors give a proper-divisor sum of 4,931,500, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 71 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,537,696
Proper Divisor Sum 4,931,500
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4606193 ← → #4606213

Radix Representation

Decimal 4606196
Binary 10001100100100011110100 (23 bits)
Octal 0o21444364
Hexadecimal 0x4648F4

Divisor Catalog (36)

1 2 4 7 14 28 49 71 98 142 196 284 331 497 662 994 1,324 1,988 2,317 3,479 4,634 6,958 9,268 13,916 16,219 23,501 32,438 47,002 64,876 94,004 164,507 329,014 658,028 1,151,549 2,303,098 4,606,196

Collatz Trajectory (149 steps to reach 1)

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

4,606,196 2,303,098 1,151,549 3,454,648 1,727,324 863,662 431,831 1,295,494 647,747 1,943,242 971,621 2,914,864 1,457,432 728,716 364,358 182,179 546,538 273,269 819,808 409,904 204,952 102,476 51,238 25,619 76,858 38,429 115,288 57,644 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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