1,608,957

3³ × 7 × 8513

1,608,957 factors as 3^3 × 7 × 8513. Its 16 positive divisors give a proper-divisor sum of 1,115,523, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 8513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,724,480

Proper Divisor Sum 1,115,523

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1608941 ← → #1608979

Radix Representation

Decimal	1608957
Binary	110001000110011111101 (21 bits)
Octal	0o6106375
Hexadecimal	0x188CFD

Divisor Catalog (16)

1 3 7 9 21 27 63 189 8,513 25,539 59,591 76,617 178,773 229,851 536,319 1,608,957

Collatz Trajectory (238 steps to reach 1)

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

1,608,957 4,826,872 2,413,436 1,206,718 603,359 1,810,078 905,039 2,715,118 1,357,559 4,072,678 2,036,339 6,109,018 3,054,509 9,163,528 4,581,764 2,290,882 1,145,441 3,436,324 1,718,162 859,081 2,577,244 1,288,622 644,311 1,932,934 966,467 2,899,402 1,449,701 4,349,104 2,174,552 1,087,276 543,638 271,819 815,458 407,729 1,223,188 611,594 305,797 917,392 458,696 229,348 114,674 57,337 172,012 86,006 43,003 129,010 64,505 193,516 96,758 48,379 145,138 72,569 217,708 108,854 54,427 163,282 81,641 244,924 122,462 61,231

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