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4,120,165

5 × 72 × 67 × 251
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^2 × 67 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,860,512
Proper Divisor Sum 1,740,347
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4120163 ← → #4120177

Radix Representation

Decimal 4120165
Binary 1111101101111001100101 (22 bits)
Octal 0o17557145
Hexadecimal 0x3EDE65

Divisor Catalog (24)

1 5 7 35 49 67 245 251 335 469 1,255 1,757 2,345 3,283 8,785 12,299 16,415 16,817 61,495 84,085 117,719 588,595 824,033 4,120,165

Collatz Trajectory (53 steps to reach 1)

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

4,120,165 12,360,496 6,180,248 3,090,124 1,545,062 772,531 2,317,594 1,158,797 3,476,392 1,738,196 869,098 434,549 1,303,648 651,824 325,912 162,956 81,478 40,739 122,218 61,109 183,328 91,664 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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