λ
Harmonic Matrix

1,012,181

31 × 103 × 317
Deficient Odd Composite

1,012,181 has digital root 5. The neighboring primes are 1012171 and 1012183; its proper-divisor sum differs from the starting integer by -966,058.

Prime Factor Structure

Factorization String 31 × 103 × 317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,058,304
Proper Divisor Sum 46,123
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1012171 ← → #1012183

Radix Representation

Decimal 1012181
Binary 11110111000111010101 (20 bits)
Octal 0o3670725
Hexadecimal 0xF71D5

Divisor Catalog (8)

1 31 103 317 3,193 9,827 32,651 1,012,181

Collatz Trajectory (183 steps to reach 1)

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

1,012,181 3,036,544 1,518,272 759,136 379,568 189,784 94,892 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425

More profiles

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