λ
Integer Codex

5,617,990

2 × 5 × 7 × 17 × 4721
Abundant Even Composite

For 5,617,990, the 32 positive divisors have a total of 12,239,424. Removing 5,617,990 leaves 6,621,434, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 4721
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,239,424
Proper Divisor Sum 6,621,434
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5617987 ← → #5617999

Radix Representation

Decimal 5617990
Binary 10101011011100101000110 (23 bits)
Octal 0o25334506
Hexadecimal 0x55B946

Divisor Catalog (32)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1,190 4,721 9,442 23,605 33,047 47,210 66,094 80,257 160,514 165,235 330,470 401,285 561,799 802,570 1,123,598 2,808,995 5,617,990

Collatz Trajectory (170 steps to reach 1)

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

5,617,990 2,808,995 8,426,986 4,213,493 12,640,480 6,320,240 3,160,120 1,580,060 790,030 395,015 1,185,046 592,523 1,777,570 888,785 2,666,356 1,333,178 666,589 1,999,768 999,884 499,942 249,971 749,914 374,957 1,124,872 562,436 281,218 140,609 421,828 210,914 105,457 316,372 158,186 79,093 237,280 118,640 59,320 29,660 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166

More profiles

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