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Atlas › Integer Profiles › Node 4,366,376

4,366,376

23 × 7 × 103 × 757
Abundant Even Composite

4,366,376 factors as 2^3 × 7 × 103 × 757. Its 32 positive divisors give a proper-divisor sum of 5,093,464, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 103 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,459,840
Proper Divisor Sum 5,093,464
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4366367 ← → #4366379

Radix Representation

Decimal 4366376
Binary 10000101010000000101000 (23 bits)
Octal 0o20520050
Hexadecimal 0x42A028

Divisor Catalog (32)

1 2 4 7 8 14 28 56 103 206 412 721 757 824 1,442 1,514 2,884 3,028 5,299 5,768 6,056 10,598 21,196 42,392 77,971 155,942 311,884 545,797 623,768 1,091,594 2,183,188 4,366,376

Collatz Trajectory (136 steps to reach 1)

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

4,366,376 2,183,188 1,091,594 545,797 1,637,392 818,696 409,348 204,674 102,337 307,012 153,506 76,753 230,260 115,130 57,565 172,696 86,348 43,174 21,587 64,762 32,381 97,144 48,572 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210

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