λ
Harmonic Matrix

2,470,622

2 × 7 × 11 × 61 × 263
Deficient Even Composite

2,470,622 has digital root 5. The neighboring primes are 2470621 and 2470631; its proper-divisor sum differs from the starting integer by -227,260.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 61 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,713,984
Proper Divisor Sum 2,243,362
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2470621 ← → #2470631

Radix Representation

Decimal 2470622
Binary 1001011011001011011110 (22 bits)
Octal 0o11331336
Hexadecimal 0x25B2DE

Divisor Catalog (32)

1 2 7 11 14 22 61 77 122 154 263 427 526 671 854 1,342 1,841 2,893 3,682 4,697 5,786 9,394 16,043 20,251 32,086 40,502 112,301 176,473 224,602 352,946 1,235,311 2,470,622

Collatz Trajectory (117 steps to reach 1)

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

2,470,622 1,235,311 3,705,934 1,852,967 5,558,902 2,779,451 8,338,354 4,169,177 12,507,532 6,253,766 3,126,883 9,380,650 4,690,325 14,070,976 7,035,488 3,517,744 1,758,872 879,436 439,718 219,859 659,578 329,789 989,368 494,684 247,342 123,671 371,014 185,507 556,522 278,261 834,784 417,392 208,696 104,348 52,174 26,087 78,262 39,131 117,394 58,697 176,092 88,046 44,023 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718 27,859 83,578 41,789 125,368 62,684 31,342 15,671

More profiles

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