150,969

3 × 7² × 13 × 79

150,969 is odd and not a perfect square. Its factorization is 3 × 7^2 × 13 × 79 and its 24 divisors sum to 255,360.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 255,360

Proper Divisor Sum 104,391

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #150967 ← → #150979

Radix Representation

Decimal	150969
Binary	100100110110111001 (18 bits)
Octal	0o446671
Hexadecimal	0x24DB9

Divisor Catalog (24)

1 3 7 13 21 39 49 79 91 147 237 273 553 637 1,027 1,659 1,911 3,081 3,871 7,189 11,613 21,567 50,323 150,969

Collatz Trajectory (157 steps to reach 1)

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

150,969 452,908 226,454 113,227 339,682 169,841 509,524 254,762 127,381 382,144 191,072 95,536 47,768 23,884 11,942 5,971 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970

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