λ
Prime Ledger

2,624,830

2 × 5 × 13 × 61 × 331
Deficient Even Composite

2,624,830 has the prime decomposition 2 × 5 × 13 × 61 × 331. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 61 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,187,168
Proper Divisor Sum 2,562,338
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2624813 ← → #2624837

Radix Representation

Decimal 2624830
Binary 1010000000110100111110 (22 bits)
Octal 0o12006476
Hexadecimal 0x280D3E

Divisor Catalog (32)

1 2 5 10 13 26 61 65 122 130 305 331 610 662 793 1,586 1,655 3,310 3,965 4,303 7,930 8,606 20,191 21,515 40,382 43,030 100,955 201,910 262,483 524,966 1,312,415 2,624,830

Collatz Trajectory (148 steps to reach 1)

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

2,624,830 1,312,415 3,937,246 1,968,623 5,905,870 2,952,935 8,858,806 4,429,403 13,288,210 6,644,105 19,932,316 9,966,158 4,983,079 14,949,238 7,474,619 22,423,858 11,211,929 33,635,788 16,817,894 8,408,947 25,226,842 12,613,421 37,840,264 18,920,132 9,460,066 4,730,033 14,190,100 7,095,050 3,547,525 10,642,576 5,321,288 2,660,644 1,330,322 665,161 1,995,484 997,742 498,871 1,496,614 748,307 2,244,922 1,122,461 3,367,384 1,683,692 841,846 420,923 1,262,770 631,385 1,894,156 947,078 473,539 1,420,618 710,309 2,130,928 1,065,464 532,732 266,366 133,183 399,550 199,775 599,326

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