1,736,576

2⁷ × 13567

1,736,576 factors as 2^7 × 13567. Its 16 positive divisors give a proper-divisor sum of 1,723,264, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^7 × 13567

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,459,840

Proper Divisor Sum 1,723,264

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1736563 ← → #1736599

Radix Representation

Decimal	1736576
Binary	110100111111110000000 (21 bits)
Octal	0o6477600
Hexadecimal	0x1A7F80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 13,567 27,134 54,268 108,536 217,072 434,144 868,288 1,736,576

Collatz Trajectory (189 steps to reach 1)

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

1,736,576 868,288 434,144 217,072 108,536 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837

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