λ
Harmonic Matrix

2,464,235

5 × 17 × 53 × 547
Deficient Odd Composite

2,464,235 has digital root 8. The neighboring primes are 2464213 and 2464271; its proper-divisor sum differs from the starting integer by -1,732,534.

Prime Factor Structure

Factorization String 5 × 17 × 53 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,195,936
Proper Divisor Sum 731,701
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2464213 ← → #2464271

Radix Representation

Decimal 2464235
Binary 1001011001100111101011 (22 bits)
Octal 0o11314753
Hexadecimal 0x2599EB

Divisor Catalog (16)

1 5 17 53 85 265 547 901 2,735 4,505 9,299 28,991 46,495 144,955 492,847 2,464,235

Collatz Trajectory (192 steps to reach 1)

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

2,464,235 7,392,706 3,696,353 11,089,060 5,544,530 2,772,265 8,316,796 4,158,398 2,079,199 6,237,598 3,118,799 9,356,398 4,678,199 14,034,598 7,017,299 21,051,898 10,525,949 31,577,848 15,788,924 7,894,462 3,947,231 11,841,694 5,920,847 17,762,542 8,881,271 26,643,814 13,321,907 39,965,722 19,982,861 59,948,584 29,974,292 14,987,146 7,493,573 22,480,720 11,240,360 5,620,180 2,810,090 1,405,045 4,215,136 2,107,568 1,053,784 526,892 263,446 131,723 395,170 197,585 592,756 296,378 148,189 444,568 222,284 111,142 55,571 166,714 83,357 250,072 125,036 62,518 31,259 93,778

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