λ
Zalai Atlas

2,510,332

22 × 11 × 59 × 967
Deficient Even Composite

2,510,332 has the prime decomposition 2^2 × 11 × 59 × 967. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 59 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,878,720
Proper Divisor Sum 2,368,388
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2510329 ← → #2510341

Radix Representation

Decimal 2510332
Binary 1001100100110111111100 (22 bits)
Octal 0o11446774
Hexadecimal 0x264DFC

Divisor Catalog (24)

1 2 4 11 22 44 59 118 236 649 967 1,298 1,934 2,596 3,868 10,637 21,274 42,548 57,053 114,106 228,212 627,583 1,255,166 2,510,332

Collatz Trajectory (205 steps to reach 1)

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

2,510,332 1,255,166 627,583 1,882,750 941,375 2,824,126 1,412,063 4,236,190 2,118,095 6,354,286 3,177,143 9,531,430 4,765,715 14,297,146 7,148,573 21,445,720 10,722,860 5,361,430 2,680,715 8,042,146 4,021,073 12,063,220 6,031,610 3,015,805 9,047,416 4,523,708 2,261,854 1,130,927 3,392,782 1,696,391 5,089,174 2,544,587 7,633,762 3,816,881 11,450,644 5,725,322 2,862,661 8,587,984 4,293,992 2,146,996 1,073,498 536,749 1,610,248 805,124 402,562 201,281 603,844 301,922 150,961 452,884 226,442 113,221 339,664 169,832 84,916 42,458 21,229 63,688 31,844 15,922

More profiles

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