1,742,917

11 × 23 × 83²

1,742,917 has digital root 4. The neighboring primes are 1742903 and 1742941; its proper-divisor sum differs from the starting integer by -1,477,610.

Prime Factor Structure

Factorization String 11 × 23 × 83^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,008,224

Proper Divisor Sum 265,307

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1742903 ← → #1742941

Radix Representation

Decimal	1742917
Binary	110101001100001000101 (21 bits)
Octal	0o6514105
Hexadecimal	0x1A9845

Divisor Catalog (12)

1 11 23 83 253 913 1,909 6,889 20,999 75,779 158,447 1,742,917

Collatz Trajectory (189 steps to reach 1)

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

1,742,917 5,228,752 2,614,376 1,307,188 653,594 326,797 980,392 490,196 245,098 122,549 367,648 183,824 91,912 45,956 22,978 11,489 34,468 17,234 8,617 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843

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