449,768

2³ × 11 × 19 × 269

449,768 has digital root 2. The neighboring primes are 449767 and 449773; its proper-divisor sum differs from the starting integer by 72,464.

Prime Factor Structure

Factorization String 2^3 × 11 × 19 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 972,000

Proper Divisor Sum 522,232

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #449767 ← → #449773

Radix Representation

Decimal	449768
Binary	1101101110011101000 (19 bits)
Octal	0o1556350
Hexadecimal	0x6DCE8

Divisor Catalog (32)

1 2 4 8 11 19 22 38 44 76 88 152 209 269 418 538 836 1,076 1,672 2,152 2,959 5,111 5,918 10,222 11,836 20,444 23,672 40,888 56,221 112,442 224,884 449,768

Collatz Trajectory (94 steps to reach 1)

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

449,768 224,884 112,442 56,221 168,664 84,332 42,166 21,083 63,250 31,625 94,876 47,438 23,719 71,158 35,579 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476

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