λ
Sigma Notebook

1,102,156

22 × 11 × 37 × 677
Deficient Even Composite

1,102,156 is even and not a perfect square. Its factorization is 2^2 × 11 × 37 × 677 and its 24 divisors sum to 2,164,176.

Prime Factor Structure

Factorization String 2^2 × 11 × 37 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,164,176
Proper Divisor Sum 1,062,020
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1102151 ← → #1102159

Radix Representation

Decimal 1102156
Binary 100001101000101001100 (21 bits)
Octal 0o4150514
Hexadecimal 0x10D14C

Divisor Catalog (24)

1 2 4 11 22 37 44 74 148 407 677 814 1,354 1,628 2,708 7,447 14,894 25,049 29,788 50,098 100,196 275,539 551,078 1,102,156

Collatz Trajectory (178 steps to reach 1)

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

1,102,156 551,078 275,539 826,618 413,309 1,239,928 619,964 309,982 154,991 464,974 232,487 697,462 348,731 1,046,194 523,097 1,569,292 784,646 392,323 1,176,970 588,485 1,765,456 882,728 441,364 220,682 110,341 331,024 165,512 82,756 41,378 20,689 62,068 31,034 15,517 46,552 23,276 11,638 5,819 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168

More profiles

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