λ
Sigma Notebook

1,072,388

22 × 127 × 2111
Deficient Even Composite

1,072,388 is even and not a perfect square. Its factorization is 2^2 × 127 × 2111 and its 12 divisors sum to 1,892,352.

Prime Factor Structure

Factorization String 2^2 × 127 × 2111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,892,352
Proper Divisor Sum 819,964
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1072387 ← → #1072397

Radix Representation

Decimal 1072388
Binary 100000101110100000100 (21 bits)
Octal 0o4056404
Hexadecimal 0x105D04

Divisor Catalog (12)

1 2 4 127 254 508 2,111 4,222 8,444 268,097 536,194 1,072,388

Collatz Trajectory (165 steps to reach 1)

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

1,072,388 536,194 268,097 804,292 402,146 201,073 603,220 301,610 150,805 452,416 226,208 113,104 56,552 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136

More profiles

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