1,624,896

2⁶ × 3² × 7 × 13 × 31

1,624,896 has the prime decomposition 2^6 × 3^2 × 7 × 13 × 31. Its 5 distinct prime factors produce 168 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 5,917,184

Proper Divisor Sum 4,292,288

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1624849 ← → #1624913

Radix Representation

Decimal	1624896
Binary	110001100101101000000 (21 bits)
Octal	0o6145500
Hexadecimal	0x18CB40

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 39 42 48 52 56 62 63 64 72 78 84 91 93 96 104 112 117 124 126 144 156 168 182 186 192 208 217 224 234 248 252 273 279 288 312 336 364 372 403 416

Collatz Trajectory (44 steps to reach 1)

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

1,624,896 812,448 406,224 203,112 101,556 50,778 25,389 76,168 38,084 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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