1,762,696

2³ × 13 × 17 × 997

1,762,696 has digital root 1. The neighboring primes are 1762693 and 1762711; its proper-divisor sum differs from the starting integer by 247,048.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 997

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,772,440

Proper Divisor Sum 2,009,744

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1762693 ← → #1762711

Radix Representation

Decimal	1762696
Binary	110101110010110001000 (21 bits)
Octal	0o6562610
Hexadecimal	0x1AE588

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 997 1,768 1,994 3,988 7,976 12,961 16,949 25,922 33,898 51,844 67,796 103,688 135,592 220,337 440,674 881,348 1,762,696

Collatz Trajectory (189 steps to reach 1)

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

1,762,696 881,348 440,674 220,337 661,012 330,506 165,253 495,760 247,880 123,940 61,970 30,985 92,956 46,478 23,239 69,718 34,859 104,578 52,289 156,868 78,434 39,217 117,652 58,826 29,413 88,240 44,120 22,060 11,030 5,515 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870

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