λ
Harmonic Matrix

4,119,696

24 × 32 × 7 × 61 × 67
Abundant Even Composite

4,119,696 has digital root 9. The neighboring primes are 4119677 and 4119697; its proper-divisor sum differs from the starting integer by 5,352,992.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 61 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 13,592,384
Proper Divisor Sum 9,472,688
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4119677 ← → #4119697

Radix Representation

Decimal 4119696
Binary 1111101101110010010000 (22 bits)
Octal 0o17556220
Hexadecimal 0x3EDC90

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 67 72 84 112 122 126 134 144 168 183 201 244 252 268 336 366 402 427 469 488 504 536 549 603 732 804 854 938 976 1,008 1,072 1,098 1,206 1,281 1,407 1,464 1,608 1,708 1,876

Collatz Trajectory (105 steps to reach 1)

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

4,119,696 2,059,848 1,029,924 514,962 257,481 772,444 386,222 193,111 579,334 289,667 869,002 434,501 1,303,504 651,752 325,876 162,938 81,469 244,408 122,204 61,102 30,551 91,654 45,827 137,482 68,741 206,224 103,112 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357

More profiles

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