λ
Math Directory

1,369,119

3 × 29 × 15737
Deficient Odd Composite

1,369,119 factors as 3 × 29 × 15737. Its 8 positive divisors give a proper-divisor sum of 519,441, so this integer is deficient. The Collatz stopping time is 411 steps.

Prime Factor Structure

Factorization String 3 × 29 × 15737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,888,560
Proper Divisor Sum 519,441
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1369103 ← → #1369133

Radix Representation

Decimal 1369119
Binary 101001110010000011111 (21 bits)
Octal 0o5162037
Hexadecimal 0x14E41F

Divisor Catalog (8)

1 3 29 87 15,737 47,211 456,373 1,369,119

Collatz Trajectory (411 steps to reach 1)

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

1,369,119 4,107,358 2,053,679 6,161,038 3,080,519 9,241,558 4,620,779 13,862,338 6,931,169 20,793,508 10,396,754 5,198,377 15,595,132 7,797,566 3,898,783 11,696,350 5,848,175 17,544,526 8,772,263 26,316,790 13,158,395 39,475,186 19,737,593 59,212,780 29,606,390 14,803,195 44,409,586 22,204,793 66,614,380 33,307,190 16,653,595 49,960,786 24,980,393 74,941,180 37,470,590 18,735,295 56,205,886 28,102,943 84,308,830 42,154,415 126,463,246 63,231,623 189,694,870 94,847,435 284,542,306 142,271,153 426,813,460 213,406,730 106,703,365 320,110,096 160,055,048 80,027,524 40,013,762 20,006,881 60,020,644 30,010,322 15,005,161 45,015,484 22,507,742 11,253,871

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