1,664,167

821 × 2027

1,664,167 factors as 821 × 2027. Its 4 positive divisors give a proper-divisor sum of 2,849, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 821 × 2027

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,667,016

Proper Divisor Sum 2,849

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1664123 ← → #1664227

Radix Representation

Decimal	1664167
Binary	110010110010010100111 (21 bits)
Octal	0o6262247
Hexadecimal	0x1964A7

Divisor Catalog (4)

1 821 2,027 1,664,167

Collatz Trajectory (163 steps to reach 1)

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

1,664,167 4,992,502 2,496,251 7,488,754 3,744,377 11,233,132 5,616,566 2,808,283 8,424,850 4,212,425 12,637,276 6,318,638 3,159,319 9,477,958 4,738,979 14,216,938 7,108,469 21,325,408 10,662,704 5,331,352 2,665,676 1,332,838 666,419 1,999,258 999,629 2,998,888 1,499,444 749,722 374,861 1,124,584 562,292 281,146 140,573 421,720 210,860 105,430 52,715 158,146 79,073 237,220 118,610 59,305 177,916 88,958 44,479 133,438 66,719 200,158 100,079 300,238 150,119 450,358 225,179 675,538 337,769 1,013,308 506,654 253,327 759,982 379,991

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