λ
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Atlas › Integer Profiles › Node 4,300,365

4,300,365

3 × 5 × 19 × 79 × 191
Deficient Odd Composite

4,300,365 factors as 3 × 5 × 19 × 79 × 191. Its 32 positive divisors give a proper-divisor sum of 3,072,435, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 79 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,372,800
Proper Divisor Sum 3,072,435
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4300363 ← → #4300369

Radix Representation

Decimal 4300365
Binary 10000011001111001001101 (23 bits)
Octal 0o20317115
Hexadecimal 0x419E4D

Divisor Catalog (32)

1 3 5 15 19 57 79 95 191 237 285 395 573 955 1,185 1,501 2,865 3,629 4,503 7,505 10,887 15,089 18,145 22,515 45,267 54,435 75,445 226,335 286,691 860,073 1,433,455 4,300,365

Collatz Trajectory (79 steps to reach 1)

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

4,300,365 12,901,096 6,450,548 3,225,274 1,612,637 4,837,912 2,418,956 1,209,478 604,739 1,814,218 907,109 2,721,328 1,360,664 680,332 340,166 170,083 510,250 255,125 765,376 382,688 191,344 95,672 47,836 23,918 11,959 35,878 17,939 53,818 26,909 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549

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