λ
Modular Archive

7,942,024

23 × 617 × 1609
Deficient Even Composite

The decimal integer 7,942,024 is 11110010010111110001000 in binary (23 bits), 36227610 in octal and 792F88 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 2^3 × 617 × 1609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,924,700
Proper Divisor Sum 6,982,676
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7942003 ← → #7942031

Radix Representation

Decimal 7942024
Binary 11110010010111110001000 (23 bits)
Octal 0o36227610
Hexadecimal 0x792F88

Divisor Catalog (16)

1 2 4 8 617 1,234 1,609 2,468 3,218 4,936 6,436 12,872 992,753 1,985,506 3,971,012 7,942,024

Collatz Trajectory (155 steps to reach 1)

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

7,942,024 3,971,012 1,985,506 992,753 2,978,260 1,489,130 744,565 2,233,696 1,116,848 558,424 279,212 139,606 69,803 209,410 104,705 314,116 157,058 78,529 235,588 117,794 58,897 176,692 88,346 44,173 132,520 66,260 33,130 16,565 49,696 24,848 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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