λ
Integer Codex

2,435,175

32 × 52 × 79 × 137
Deficient Odd Composite

For 2,435,175, the 36 positive divisors have a total of 4,449,120. Removing 2,435,175 leaves 2,013,945, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 79 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,449,120
Proper Divisor Sum 2,013,945
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2435161 ← → #2435179

Radix Representation

Decimal 2435175
Binary 1001010010100001100111 (22 bits)
Octal 0o11224147
Hexadecimal 0x252867

Divisor Catalog (36)

1 3 5 9 15 25 45 75 79 137 225 237 395 411 685 711 1,185 1,233 1,975 2,055 3,425 3,555 5,925 6,165 10,275 10,823 17,775 30,825 32,469 54,115 97,407 162,345 270,575 487,035 811,725 2,435,175

Collatz Trajectory (86 steps to reach 1)

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

2,435,175 7,305,526 3,652,763 10,958,290 5,479,145 16,437,436 8,218,718 4,109,359 12,328,078 6,164,039 18,492,118 9,246,059 27,738,178 13,869,089 41,607,268 20,803,634 10,401,817 31,205,452 15,602,726 7,801,363 23,404,090 11,702,045 35,106,136 17,553,068 8,776,534 4,388,267 13,164,802 6,582,401 19,747,204 9,873,602 4,936,801 14,810,404 7,405,202 3,702,601 11,107,804 5,553,902 2,776,951 8,330,854 4,165,427 12,496,282 6,248,141 18,744,424 9,372,212 4,686,106 2,343,053 7,029,160 3,514,580 1,757,290 878,645 2,635,936 1,317,968 658,984 329,492 164,746 82,373 247,120 123,560 61,780 30,890 15,445

More profiles

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