λ
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4,625,936

24 × 7 × 103 × 401
Abundant Even Composite

4,625,936 factors as 2^4 × 7 × 103 × 401. Its 40 positive divisors give a proper-divisor sum of 5,742,448, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 103 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,368,384
Proper Divisor Sum 5,742,448
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4625927 ← → #4625939

Radix Representation

Decimal 4625936
Binary 10001101001011000010000 (23 bits)
Octal 0o21513020
Hexadecimal 0x469610

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 103 112 206 401 412 721 802 824 1,442 1,604 1,648 2,807 2,884 3,208 5,614 5,768 6,416 11,228 11,536 22,456 41,303 44,912 82,606 165,212 289,121 330,424 578,242 660,848 1,156,484 2,312,968 4,625,936

Collatz Trajectory (149 steps to reach 1)

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

4,625,936 2,312,968 1,156,484 578,242 289,121 867,364 433,682 216,841 650,524 325,262 162,631 487,894 243,947 731,842 365,921 1,097,764 548,882 274,441 823,324 411,662 205,831 617,494 308,747 926,242 463,121 1,389,364 694,682 347,341 1,042,024 521,012 260,506 130,253 390,760 195,380 97,690 48,845 146,536 73,268 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137

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