29,323,261

11³ × 22031

29,323,261 factors as 11^3 × 22031. Its 8 positive divisors give a proper-divisor sum of 2,931,587, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 11^3 × 22031

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 32,254,848

Proper Divisor Sum 2,931,587

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #29323237 ← → #29323279

Radix Representation

Decimal	29323261
Binary	1101111110110111111111101 (25 bits)
Octal	0o157667775
Hexadecimal	0x1BF6FFD

Divisor Catalog (8)

1 11 121 1,331 22,031 242,341 2,665,751 29,323,261

Collatz Trajectory (175 steps to reach 1)

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

29,323,261 87,969,784 43,984,892 21,992,446 10,996,223 32,988,670 16,494,335 49,483,006 24,741,503 74,224,510 37,112,255 111,336,766 55,668,383 167,005,150 83,502,575 250,507,726 125,253,863 375,761,590 187,880,795 563,642,386 281,821,193 845,463,580 422,731,790 211,365,895 634,097,686 317,048,843 951,146,530 475,573,265 1,426,719,796 713,359,898 356,679,949 1,070,039,848 535,019,924 267,509,962 133,754,981 401,264,944 200,632,472 100,316,236 50,158,118 25,079,059 75,237,178 37,618,589 112,855,768 56,427,884 28,213,942 14,106,971 42,320,914 21,160,457 63,481,372 31,740,686 15,870,343 47,611,030 23,805,515 71,416,546 35,708,273 107,124,820 53,562,410 26,781,205 80,343,616 40,171,808

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