1,737,728

2¹⁰ × 1697

1,737,728 has digital root 8. The neighboring primes are 1737691 and 1737733; its proper-divisor sum differs from the starting integer by 350.

Prime Factor Structure

Factorization String 2^10 × 1697

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 22

Divisor Sum (σ) 3,475,806

Proper Divisor Sum 1,738,078

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1737691 ← → #1737733

Radix Representation

Decimal	1737728
Binary	110101000010000000000 (21 bits)
Octal	0o6502000
Hexadecimal	0x1A8400

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 1,697 3,394 6,788 13,576 27,152 54,304 108,608 217,216 434,432 868,864 1,737,728

Collatz Trajectory (44 steps to reach 1)

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

1,737,728 868,864 434,432 217,216 108,608 54,304 27,152 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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