1,122,429

3 × 7 × 11 × 43 × 113

For 1,122,429, the 32 positive divisors have a total of 1,926,144. Removing 1,122,429 leaves 803,715, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 43 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,926,144

Proper Divisor Sum 803,715

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1122427 ← → #1122431

Radix Representation

Decimal	1122429
Binary	100010010000001111101 (21 bits)
Octal	0o4220175
Hexadecimal	0x11207D

Divisor Catalog (32)

1 3 7 11 21 33 43 77 113 129 231 301 339 473 791 903 1,243 1,419 2,373 3,311 3,729 4,859 8,701 9,933 14,577 26,103 34,013 53,449 102,039 160,347 374,143 1,122,429

Collatz Trajectory (108 steps to reach 1)

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

1,122,429 3,367,288 1,683,644 841,822 420,911 1,262,734 631,367 1,894,102 947,051 2,841,154 1,420,577 4,261,732 2,130,866 1,065,433 3,196,300 1,598,150 799,075 2,397,226 1,198,613 3,595,840 1,797,920 898,960 449,480 224,740 112,370 56,185 168,556 84,278 42,139 126,418 63,209 189,628 94,814 47,407 142,222 71,111 213,334 106,667 320,002 160,001 480,004 240,002 120,001 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718

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