1,584,809

19 × 239 × 349

1,584,809 factors as 19 × 239 × 349. Its 8 positive divisors give a proper-divisor sum of 95,191, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 19 × 239 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,680,000

Proper Divisor Sum 95,191

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1584797 ← → #1584811

Radix Representation

Decimal	1584809
Binary	110000010111010101001 (21 bits)
Octal	0o6027251
Hexadecimal	0x182EA9

Divisor Catalog (8)

1 19 239 349 4,541 6,631 83,411 1,584,809

Collatz Trajectory (176 steps to reach 1)

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

1,584,809 4,754,428 2,377,214 1,188,607 3,565,822 1,782,911 5,348,734 2,674,367 8,023,102 4,011,551 12,034,654 6,017,327 18,051,982 9,025,991 27,077,974 13,538,987 40,616,962 20,308,481 60,925,444 30,462,722 15,231,361 45,694,084 22,847,042 11,423,521 34,270,564 17,135,282 8,567,641 25,702,924 12,851,462 6,425,731 19,277,194 9,638,597 28,915,792 14,457,896 7,228,948 3,614,474 1,807,237 5,421,712 2,710,856 1,355,428 677,714 338,857 1,016,572 508,286 254,143 762,430 381,215 1,143,646 571,823 1,715,470 857,735 2,573,206 1,286,603 3,859,810 1,929,905 5,789,716 2,894,858 1,447,429 4,342,288 2,171,144

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