2,688,576

2⁶ × 3 × 11 × 19 × 67

2,688,576 has digital root 6. The neighboring primes are 2688563 and 2688611; its proper-divisor sum differs from the starting integer by 2,913,408.

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 19 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 8,290,560

Proper Divisor Sum 5,601,984

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2688563 ← → #2688611

Radix Representation

Decimal	2688576
Binary	1010010000011001000000 (22 bits)
Octal	0o12203100
Hexadecimal	0x290640

Divisor Catalog (60 of 112)

1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 67 76 88 96 114 132 134 152 176 192 201 209 228 264 268 304 352 402 418 456 528 536 608 627 704 737 804 836 912 1,056 1,072 1,216 1,254 1,273 1,474 1,608 1,672 1,824 2,112 2,144

Collatz Trajectory (112 steps to reach 1)

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

2,688,576 1,344,288 672,144 336,072 168,036 84,018 42,009 126,028 63,014 31,507 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

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