1,190,319

3 × 13 × 23 × 1327

1,190,319 factors as 3 × 13 × 23 × 1327. Its 16 positive divisors give a proper-divisor sum of 594,513, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 1327

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,784,832

Proper Divisor Sum 594,513

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1190311 ← → #1190347

Radix Representation

Decimal	1190319
Binary	100100010100110101111 (21 bits)
Octal	0o4424657
Hexadecimal	0x1229AF

Divisor Catalog (16)

1 3 13 23 39 69 299 897 1,327 3,981 17,251 30,521 51,753 91,563 396,773 1,190,319

Collatz Trajectory (142 steps to reach 1)

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

1,190,319 3,570,958 1,785,479 5,356,438 2,678,219 8,034,658 4,017,329 12,051,988 6,025,994 3,012,997 9,038,992 4,519,496 2,259,748 1,129,874 564,937 1,694,812 847,406 423,703 1,271,110 635,555 1,906,666 953,333 2,860,000 1,430,000 715,000 357,500 178,750 89,375 268,126 134,063 402,190 201,095 603,286 301,643 904,930 452,465 1,357,396 678,698 339,349 1,018,048 509,024 254,512 127,256 63,628 31,814 15,907 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259

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