λ
Sigma Notebook

2,177,276

22 × 157 × 3467
Deficient Even Composite

2,177,276 is even and not a perfect square. Its factorization is 2^2 × 157 × 3467 and its 12 divisors sum to 3,835,608.

Prime Factor Structure

Factorization String 2^2 × 157 × 3467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,835,608
Proper Divisor Sum 1,658,332
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2177243 ← → #2177281

Radix Representation

Decimal 2177276
Binary 1000010011100011111100 (22 bits)
Octal 0o10234374
Hexadecimal 0x2138FC

Divisor Catalog (12)

1 2 4 157 314 628 3,467 6,934 13,868 544,319 1,088,638 2,177,276

Collatz Trajectory (241 steps to reach 1)

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

2,177,276 1,088,638 544,319 1,632,958 816,479 2,449,438 1,224,719 3,674,158 1,837,079 5,511,238 2,755,619 8,266,858 4,133,429 12,400,288 6,200,144 3,100,072 1,550,036 775,018 387,509 1,162,528 581,264 290,632 145,316 72,658 36,329 108,988 54,494 27,247 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176

More profiles

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