λ
Zalai Atlas

4,361,352

23 × 3 × 23 × 7901
Abundant Even Composite

4,361,352 has the prime decomposition 2^3 × 3 × 23 × 7901. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 7901
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,378,880
Proper Divisor Sum 7,017,528
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4361347 ← → #4361363

Radix Representation

Decimal 4361352
Binary 10000101000110010001000 (23 bits)
Octal 0o20506210
Hexadecimal 0x428C88

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 7,901 15,802 23,703 31,604 47,406 63,208 94,812 181,723 189,624 363,446 545,169 726,892 1,090,338 1,453,784 2,180,676 4,361,352

Collatz Trajectory (48 steps to reach 1)

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

4,361,352 2,180,676 1,090,338 545,169 1,635,508 817,754 408,877 1,226,632 613,316 306,658 153,329 459,988 229,994 114,997 344,992 172,496 86,248 43,124 21,562 10,781 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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