λ
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3,973,280

25 × 5 × 19 × 1307
Abundant Even Composite

3,973,280 factors as 2^5 × 5 × 19 × 1307. Its 48 positive divisors give a proper-divisor sum of 5,915,200, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 19 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,888,480
Proper Divisor Sum 5,915,200
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3973279 ← → #3973283

Radix Representation

Decimal 3973280
Binary 1111001010000010100000 (22 bits)
Octal 0o17120240
Hexadecimal 0x3CA0A0

Divisor Catalog (48)

1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1,307 1,520 2,614 3,040 5,228 6,535 10,456 13,070 20,912 24,833 26,140 41,824 49,666 52,280 99,332 104,560 124,165 198,664 209,120 248,330 397,328 496,660 794,656 993,320 1,986,640 3,973,280

Collatz Trajectory (61 steps to reach 1)

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

3,973,280 1,986,640 993,320 496,660 248,330 124,165 372,496 186,248 93,124 46,562 23,281 69,844 34,922 17,461 52,384 26,192 13,096 6,548 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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