λ
Integer Codex

1,342,480

24 × 5 × 97 × 173
Abundant Even Composite

For 1,342,480, the 40 positive divisors have a total of 3,171,672. Removing 1,342,480 leaves 1,829,192, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 97 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,171,672
Proper Divisor Sum 1,829,192
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1342433 ← → #1342489

Radix Representation

Decimal 1342480
Binary 101000111110000010000 (21 bits)
Octal 0o5076020
Hexadecimal 0x147C10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 97 173 194 346 388 485 692 776 865 970 1,384 1,552 1,730 1,940 2,768 3,460 3,880 6,920 7,760 13,840 16,781 33,562 67,124 83,905 134,248 167,810 268,496 335,620 671,240 1,342,480

Collatz Trajectory (62 steps to reach 1)

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

1,342,480 671,240 335,620 167,810 83,905 251,716 125,858 62,929 188,788 94,394 47,197 141,592 70,796 35,398 17,699 53,098 26,549 79,648 39,824 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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