λ
Integer Codex

1,049,010

2 × 3 × 5 × 73 × 479
Abundant Even Composite

For 1,049,010, the 32 positive divisors have a total of 2,557,440. Removing 1,049,010 leaves 1,508,430, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 73 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,557,440
Proper Divisor Sum 1,508,430
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1048991 ← → #1049011

Radix Representation

Decimal 1049010
Binary 100000000000110110010 (21 bits)
Octal 0o4000662
Hexadecimal 0x1001B2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 73 146 219 365 438 479 730 958 1,095 1,437 2,190 2,395 2,874 4,790 7,185 14,370 34,967 69,934 104,901 174,835 209,802 349,670 524,505 1,049,010

Collatz Trajectory (59 steps to reach 1)

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

1,049,010 524,505 1,573,516 786,758 393,379 1,180,138 590,069 1,770,208 885,104 442,552 221,276 110,638 55,319 165,958 82,979 248,938 124,469 373,408 186,704 93,352 46,676 23,338 11,669 35,008 17,504 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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