λ
Integer Codex

1,372,720

24 × 5 × 17159
Abundant Even Composite

For 1,372,720, the 20 positive divisors have a total of 3,191,760. Removing 1,372,720 leaves 1,819,040, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 17159
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,191,760
Proper Divisor Sum 1,819,040
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1372673 ← → #1372727

Radix Representation

Decimal 1372720
Binary 101001111001000110000 (21 bits)
Octal 0o5171060
Hexadecimal 0x14F230

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 17,159 34,318 68,636 85,795 137,272 171,590 274,544 343,180 686,360 1,372,720

Collatz Trajectory (62 steps to reach 1)

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

1,372,720 686,360 343,180 171,590 85,795 257,386 128,693 386,080 193,040 96,520 48,260 24,130 12,065 36,196 18,098 9,049 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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