λ
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Atlas › Integer Profiles › Node 7,036,748

7,036,748

22 × 41 × 107 × 401
Deficient Even Composite

7,036,748 factors as 2^2 × 41 × 107 × 401. Its 24 positive divisors give a proper-divisor sum of 5,727,556, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 107 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,764,304
Proper Divisor Sum 5,727,556
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7036741 ← → #7036769

Radix Representation

Decimal 7036748
Binary 11010110101111101001100 (23 bits)
Octal 0o32657514
Hexadecimal 0x6B5F4C

Divisor Catalog (24)

1 2 4 41 82 107 164 214 401 428 802 1,604 4,387 8,774 16,441 17,548 32,882 42,907 65,764 85,814 171,628 1,759,187 3,518,374 7,036,748

Collatz Trajectory (98 steps to reach 1)

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

7,036,748 3,518,374 1,759,187 5,277,562 2,638,781 7,916,344 3,958,172 1,979,086 989,543 2,968,630 1,484,315 4,452,946 2,226,473 6,679,420 3,339,710 1,669,855 5,009,566 2,504,783 7,514,350 3,757,175 11,271,526 5,635,763 16,907,290 8,453,645 25,360,936 12,680,468 6,340,234 3,170,117 9,510,352 4,755,176 2,377,588 1,188,794 594,397 1,783,192 891,596 445,798 222,899 668,698 334,349 1,003,048 501,524 250,762 125,381 376,144 188,072 94,036 47,018 23,509 70,528 35,264 17,632 8,816 4,408 2,204 1,102 551 1,654 827 2,482 1,241

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