λ
Modular Archive

1,115,504

24 × 13 × 31 × 173
Abundant Even Composite

The decimal integer 1,115,504 is 100010000010101110000 in binary (21 bits), 4202560 in octal and 110570 in hexadecimal. Its digit sum is 17.

Prime Factor Structure

Factorization String 2^4 × 13 × 31 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,416,512
Proper Divisor Sum 1,301,008
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1115501 ← → #1115519

Radix Representation

Decimal 1115504
Binary 100010000010101110000 (21 bits)
Octal 0o4202560
Hexadecimal 0x110570

Divisor Catalog (40)

1 2 4 8 13 16 26 31 52 62 104 124 173 208 248 346 403 496 692 806 1,384 1,612 2,249 2,768 3,224 4,498 5,363 6,448 8,996 10,726 17,992 21,452 35,984 42,904 69,719 85,808 139,438 278,876 557,752 1,115,504

Collatz Trajectory (178 steps to reach 1)

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

1,115,504 557,752 278,876 139,438 69,719 209,158 104,579 313,738 156,869 470,608 235,304 117,652 58,826 29,413 88,240 44,120 22,060 11,030 5,515 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108

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