1,762,768

2⁴ × 7 × 15739

1,762,768 has digital root 1. The neighboring primes are 1762751 and 1762771; its proper-divisor sum differs from the starting integer by 377,984.

Prime Factor Structure

Factorization String 2^4 × 7 × 15739

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,903,520

Proper Divisor Sum 2,140,752

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1762751 ← → #1762771

Radix Representation

Decimal	1762768
Binary	110101110010111010000 (21 bits)
Octal	0o6562720
Hexadecimal	0x1AE5D0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 15,739 31,478 62,956 110,173 125,912 220,346 251,824 440,692 881,384 1,762,768

Collatz Trajectory (65 steps to reach 1)

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

1,762,768 881,384 440,692 220,346 110,173 330,520 165,260 82,630 41,315 123,946 61,973 185,920 92,960 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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