λ
Integer Codex

1,208,410

2 × 5 × 7 × 61 × 283
Abundant Even Composite

For 1,208,410, the 32 positive divisors have a total of 2,535,552. Removing 1,208,410 leaves 1,327,142, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 61 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,535,552
Proper Divisor Sum 1,327,142
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1208407 ← → #1208413

Radix Representation

Decimal 1208410
Binary 100100111000001011010 (21 bits)
Octal 0o4470132
Hexadecimal 0x12705A

Divisor Catalog (32)

1 2 5 7 10 14 35 61 70 122 283 305 427 566 610 854 1,415 1,981 2,135 2,830 3,962 4,270 9,905 17,263 19,810 34,526 86,315 120,841 172,630 241,682 604,205 1,208,410

Collatz Trajectory (67 steps to reach 1)

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

1,208,410 604,205 1,812,616 906,308 453,154 226,577 679,732 339,866 169,933 509,800 254,900 127,450 63,725 191,176 95,588 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

More profiles

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