λ
Harmonic Matrix

1,116,272

24 × 69767
Deficient Even Composite

1,116,272 has digital root 2. The neighboring primes are 1116257 and 1116277; its proper-divisor sum differs from the starting integer by -69,736.

Prime Factor Structure

Factorization String 2^4 × 69767
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 2,162,808
Proper Divisor Sum 1,046,536
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1116257 ← → #1116277

Radix Representation

Decimal 1116272
Binary 100010000100001110000 (21 bits)
Octal 0o4204160
Hexadecimal 0x110870

Divisor Catalog (10)

1 2 4 8 16 69,767 139,534 279,068 558,136 1,116,272

Collatz Trajectory (134 steps to reach 1)

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

1,116,272 558,136 279,068 139,534 69,767 209,302 104,651 313,954 156,977 470,932 235,466 117,733 353,200 176,600 88,300 44,150 22,075 66,226 33,113 99,340 49,670 24,835 74,506 37,253 111,760 55,880 27,940 13,970 6,985 20,956 10,478 5,239 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186

More profiles

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