4,450,167

3³ × 164821

4,450,167 factors as 3^3 × 164821. Its 8 positive divisors give a proper-divisor sum of 2,142,713, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 164821

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,592,880

Proper Divisor Sum 2,142,713

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4450163 ← → #4450169

Radix Representation

Decimal	4450167
Binary	10000111110011101110111 (23 bits)
Octal	0o20763567
Hexadecimal	0x43E777

Divisor Catalog (8)

1 3 9 27 164,821 494,463 1,483,389 4,450,167

Collatz Trajectory (87 steps to reach 1)

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

4,450,167 13,350,502 6,675,251 20,025,754 10,012,877 30,038,632 15,019,316 7,509,658 3,754,829 11,264,488 5,632,244 2,816,122 1,408,061 4,224,184 2,112,092 1,056,046 528,023 1,584,070 792,035 2,376,106 1,188,053 3,564,160 1,782,080 891,040 445,520 222,760 111,380 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131

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