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Modular Archive

477,701

72 × 9749
Deficient Odd Composite

The decimal integer 477,701 is 1110100101000000101 in binary (19 bits), 1645005 in octal and 74A05 in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 7^2 × 9749
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 555,750
Proper Divisor Sum 78,049
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #477677 ← → #477721

Radix Representation

Decimal 477701
Binary 1110100101000000101 (19 bits)
Octal 0o1645005
Hexadecimal 0x74A05

Divisor Catalog (6)

1 7 49 9,749 68,243 477,701

Collatz Trajectory (169 steps to reach 1)

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

477,701 1,433,104 716,552 358,276 179,138 89,569 268,708 134,354 67,177 201,532 100,766 50,383 151,150 75,575 226,726 113,363 340,090 170,045 510,136 255,068 127,534 63,767 191,302 95,651 286,954 143,477 430,432 215,216 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506

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