λ
Prime Ledger

1,632,638

2 × 7 × 277 × 421
Deficient Even Composite

1,632,638 has the prime decomposition 2 × 7 × 277 × 421. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 277 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,815,584
Proper Divisor Sum 1,182,946
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1632637 ← → #1632647

Radix Representation

Decimal 1632638
Binary 110001110100101111110 (21 bits)
Octal 0o6164576
Hexadecimal 0x18E97E

Divisor Catalog (16)

1 2 7 14 277 421 554 842 1,939 2,947 3,878 5,894 116,617 233,234 816,319 1,632,638

Collatz Trajectory (207 steps to reach 1)

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

1,632,638 816,319 2,448,958 1,224,479 3,673,438 1,836,719 5,510,158 2,755,079 8,265,238 4,132,619 12,397,858 6,198,929 18,596,788 9,298,394 4,649,197 13,947,592 6,973,796 3,486,898 1,743,449 5,230,348 2,615,174 1,307,587 3,922,762 1,961,381 5,884,144 2,942,072 1,471,036 735,518 367,759 1,103,278 551,639 1,654,918 827,459 2,482,378 1,241,189 3,723,568 1,861,784 930,892 465,446 232,723 698,170 349,085 1,047,256 523,628 261,814 130,907 392,722 196,361 589,084 294,542 147,271 441,814 220,907 662,722 331,361 994,084 497,042 248,521 745,564 372,782

More profiles

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