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Atlas › Integer Profiles › Node 4,383,500

4,383,500

22 × 53 × 11 × 797
Abundant Even Composite

4,383,500 factors as 2^2 × 5^3 × 11 × 797. Its 48 positive divisors give a proper-divisor sum of 6,073,492, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 11 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,456,992
Proper Divisor Sum 6,073,492
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4383497 ← → #4383503

Radix Representation

Decimal 4383500
Binary 10000101110001100001100 (23 bits)
Octal 0o20561414
Hexadecimal 0x42E30C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 797 1,100 1,375 1,594 2,750 3,188 3,985 5,500 7,970 8,767 15,940 17,534 19,925 35,068 39,850 43,835 79,700 87,670 99,625 175,340 199,250 219,175 398,500 438,350 876,700 1,095,875 2,191,750 4,383,500

Collatz Trajectory (87 steps to reach 1)

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

4,383,500 2,191,750 1,095,875 3,287,626 1,643,813 4,931,440 2,465,720 1,232,860 616,430 308,215 924,646 462,323 1,386,970 693,485 2,080,456 1,040,228 520,114 260,057 780,172 390,086 195,043 585,130 292,565 877,696 438,848 219,424 109,712 54,856 27,428 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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