29,477,789

11 × 23 × 37 × 47 × 67

29,477,789 factors as 11 × 23 × 37 × 47 × 67. Its 32 positive divisors give a proper-divisor sum of 6,243,427, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 11 × 23 × 37 × 47 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 35,721,216

Proper Divisor Sum 6,243,427

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #29477783 ← → #29477803

Radix Representation

Decimal	29477789
Binary	1110000011100101110011101 (25 bits)
Octal	0o160345635
Hexadecimal	0x1C1CB9D

Divisor Catalog (32)

Collatz Trajectory (144 steps to reach 1)

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

29,477,789 88,433,368 44,216,684 22,108,342 11,054,171 33,162,514 16,581,257 49,743,772 24,871,886 12,435,943 37,307,830 18,653,915 55,961,746 27,980,873 83,942,620 41,971,310 20,985,655 62,956,966 31,478,483 94,435,450 47,217,725 141,653,176 70,826,588 35,413,294 17,706,647 53,119,942 26,559,971 79,679,914 39,839,957 119,519,872 59,759,936 29,879,968 14,939,984 7,469,992 3,734,996 1,867,498 933,749 2,801,248 1,400,624 700,312 350,156 175,078 87,539 262,618 131,309 393,928 196,964 98,482 49,241 147,724 73,862 36,931 110,794 55,397 166,192 83,096 41,548 20,774 10,387 31,162

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