1,122,471

3³ × 7 × 5939

For 1,122,471, the 16 positive divisors have a total of 1,900,800. Removing 1,122,471 leaves 778,329, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 7 × 5939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,900,800

Proper Divisor Sum 778,329

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1122467 ← → #1122481

Radix Representation

Decimal	1122471
Binary	100010010000010100111 (21 bits)
Octal	0o4220247
Hexadecimal	0x1120A7

Divisor Catalog (16)

1 3 7 9 21 27 63 189 5,939 17,817 41,573 53,451 124,719 160,353 374,157 1,122,471

Collatz Trajectory (240 steps to reach 1)

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

1,122,471 3,367,414 1,683,707 5,051,122 2,525,561 7,576,684 3,788,342 1,894,171 5,682,514 2,841,257 8,523,772 4,261,886 2,130,943 6,392,830 3,196,415 9,589,246 4,794,623 14,383,870 7,191,935 21,575,806 10,787,903 32,363,710 16,181,855 48,545,566 24,272,783 72,818,350 36,409,175 109,227,526 54,613,763 163,841,290 81,920,645 245,761,936 122,880,968 61,440,484 30,720,242 15,360,121 46,080,364 23,040,182 11,520,091 34,560,274 17,280,137 51,840,412 25,920,206 12,960,103 38,880,310 19,440,155 58,320,466 29,160,233 87,480,700 43,740,350 21,870,175 65,610,526 32,805,263 98,415,790 49,207,895 147,623,686 73,811,843 221,435,530 110,717,765 332,153,296

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