λ
Harmonic Matrix

1,484,091

32 × 7 × 23557
Deficient Odd Composite

1,484,091 has digital root 9. The neighboring primes are 1484081 and 1484111; its proper-divisor sum differs from the starting integer by -518,150.

Prime Factor Structure

Factorization String 3^2 × 7 × 23557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,450,032
Proper Divisor Sum 965,941
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1484081 ← → #1484111

Radix Representation

Decimal 1484091
Binary 101101010010100111011 (21 bits)
Octal 0o5522473
Hexadecimal 0x16A53B

Divisor Catalog (12)

1 3 7 9 21 63 23,557 70,671 164,899 212,013 494,697 1,484,091

Collatz Trajectory (93 steps to reach 1)

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

1,484,091 4,452,274 2,226,137 6,678,412 3,339,206 1,669,603 5,008,810 2,504,405 7,513,216 3,756,608 1,878,304 939,152 469,576 234,788 117,394 58,697 176,092 88,046 44,023 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718 27,859 83,578 41,789 125,368 62,684 31,342 15,671 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488

More profiles

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