λ
Harmonic Matrix

2,016,092

22 × 13 × 137 × 283
Deficient Even Composite

2,016,092 has digital root 2. The neighboring primes are 2016059 and 2016101; its proper-divisor sum differs from the starting integer by -191,368.

Prime Factor Structure

Factorization String 2^2 × 13 × 137 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,840,816
Proper Divisor Sum 1,824,724
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2016059 ← → #2016101

Radix Representation

Decimal 2016092
Binary 111101100001101011100 (21 bits)
Octal 0o7541534
Hexadecimal 0x1EC35C

Divisor Catalog (24)

1 2 4 13 26 52 137 274 283 548 566 1,132 1,781 3,562 3,679 7,124 7,358 14,716 38,771 77,542 155,084 504,023 1,008,046 2,016,092

Collatz Trajectory (135 steps to reach 1)

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

2,016,092 1,008,046 504,023 1,512,070 756,035 2,268,106 1,134,053 3,402,160 1,701,080 850,540 425,270 212,635 637,906 318,953 956,860 478,430 239,215 717,646 358,823 1,076,470 538,235 1,614,706 807,353 2,422,060 1,211,030 605,515 1,816,546 908,273 2,724,820 1,362,410 681,205 2,043,616 1,021,808 510,904 255,452 127,726 63,863 191,590 95,795 287,386 143,693 431,080 215,540 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727

More profiles

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