λ
Modular Archive

6,437,768

23 × 29 × 27749
Deficient Even Composite

The decimal integer 6,437,768 is 11000100011101110001000 in binary (23 bits), 30435610 in octal and 623B88 in hexadecimal. Its digit sum is 41.

Prime Factor Structure

Factorization String 2^3 × 29 × 27749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,487,500
Proper Divisor Sum 6,049,732
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6437749 ← → #6437773

Radix Representation

Decimal 6437768
Binary 11000100011101110001000 (23 bits)
Octal 0o30435610
Hexadecimal 0x623B88

Divisor Catalog (16)

1 2 4 8 29 58 116 232 27,749 55,498 110,996 221,992 804,721 1,609,442 3,218,884 6,437,768

Collatz Trajectory (46 steps to reach 1)

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

6,437,768 3,218,884 1,609,442 804,721 2,414,164 1,207,082 603,541 1,810,624 905,312 452,656 226,328 113,164 56,582 28,291 84,874 42,437 127,312 63,656 31,828 15,914 7,957 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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