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Atlas › Integer Profiles › Node 3,978,704

3,978,704

24 × 43 × 5783
Deficient Even Composite

3,978,704 factors as 2^4 × 43 × 5783. Its 20 positive divisors give a proper-divisor sum of 3,910,672, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 43 × 5783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,889,376
Proper Divisor Sum 3,910,672
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3978683 ← → #3978707

Radix Representation

Decimal 3978704
Binary 1111001011010111010000 (22 bits)
Octal 0o17132720
Hexadecimal 0x3CB5D0

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 5,783 11,566 23,132 46,264 92,528 248,669 497,338 994,676 1,989,352 3,978,704

Collatz Trajectory (185 steps to reach 1)

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

3,978,704 1,989,352 994,676 497,338 248,669 746,008 373,004 186,502 93,251 279,754 139,877 419,632 209,816 104,908 52,454 26,227 78,682 39,341 118,024 59,012 29,506 14,753 44,260 22,130 11,065 33,196 16,598 8,299 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210

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