λ
Integer Codex

1,104,516

22 × 34 × 7 × 487
Abundant Even Composite

For 1,104,516, the 60 positive divisors have a total of 3,306,688. Removing 1,104,516 leaves 2,202,172, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 3,306,688
Proper Divisor Sum 2,202,172
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1104511 ← → #1104517

Radix Representation

Decimal 1104516
Binary 100001101101010000100 (21 bits)
Octal 0o4155204
Hexadecimal 0x10DA84

Divisor Catalog (60)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 487 567 756 974 1,134 1,461 1,948 2,268 2,922 3,409 4,383 5,844 6,818 8,766 10,227 13,149 13,636 17,532 20,454 26,298 30,681 39,447 40,908 52,596 61,362 78,894 92,043 122,724 157,788 184,086 276,129 368,172 552,258 1,104,516

Collatz Trajectory (178 steps to reach 1)

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

1,104,516 552,258 276,129 828,388 414,194 207,097 621,292 310,646 155,323 465,970 232,985 698,956 349,478 174,739 524,218 262,109 786,328 393,164 196,582 98,291 294,874 147,437 442,312 221,156 110,578 55,289 165,868 82,934 41,467 124,402 62,201 186,604 93,302 46,651 139,954 69,977 209,932 104,966 52,483 157,450 78,725 236,176 118,088 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232

More profiles

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