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Atlas › Integer Profiles › Node 52,052,229

52,052,229

32 × 192 × 37 × 433
Deficient Odd Composite

52,052,229 factors as 3^2 × 19^2 × 37 × 433. Its 36 positive divisors give a proper-divisor sum of 29,632,647, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^2 × 19^2 × 37 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 81,684,876
Proper Divisor Sum 29,632,647
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52052227 ← → #52052261

Radix Representation

Decimal 52052229
Binary 11000110100100000100000101 (26 bits)
Octal 0o306440405
Hexadecimal 0x31A4105

Divisor Catalog (36)

1 3 9 19 37 57 111 171 333 361 433 703 1,083 1,299 2,109 3,249 3,897 6,327 8,227 13,357 16,021 24,681 40,071 48,063 74,043 120,213 144,189 156,313 304,399 468,939 913,197 1,406,817 2,739,591 5,783,581 17,350,743 52,052,229

Collatz Trajectory (168 steps to reach 1)

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

52,052,229 156,156,688 78,078,344 39,039,172 19,519,586 9,759,793 29,279,380 14,639,690 7,319,845 21,959,536 10,979,768 5,489,884 2,744,942 1,372,471 4,117,414 2,058,707 6,176,122 3,088,061 9,264,184 4,632,092 2,316,046 1,158,023 3,474,070 1,737,035 5,211,106 2,605,553 7,816,660 3,908,330 1,954,165 5,862,496 2,931,248 1,465,624 732,812 366,406 183,203 549,610 274,805 824,416 412,208 206,104 103,052 51,526 25,763 77,290 38,645 115,936 57,968 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173

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