3,129,112

2³ × 7 × 71 × 787

3,129,112 has digital root 1. The neighboring primes are 3129103 and 3129121; its proper-divisor sum differs from the starting integer by 550,096.

Prime Factor Structure

Factorization String 2^3 × 7 × 71 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,808,320

Proper Divisor Sum 3,679,208

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3129103 ← → #3129121

Radix Representation

Decimal	3129112
Binary	1011111011111100011000 (22 bits)
Octal	0o13737430
Hexadecimal	0x2FBF18

Divisor Catalog (32)

1 2 4 7 8 14 28 56 71 142 284 497 568 787 994 1,574 1,988 3,148 3,976 5,509 6,296 11,018 22,036 44,072 55,877 111,754 223,508 391,139 447,016 782,278 1,564,556 3,129,112

Collatz Trajectory (102 steps to reach 1)

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

3,129,112 1,564,556 782,278 391,139 1,173,418 586,709 1,760,128 880,064 440,032 220,016 110,008 55,004 27,502 13,751 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310

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