32,789,367

3⁴ × 13 × 31139

32,789,367 factors as 3^4 × 13 × 31139. Its 20 positive divisors give a proper-divisor sum of 19,961,793, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3^4 × 13 × 31139

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 52,751,160

Proper Divisor Sum 19,961,793

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #32789357 ← → #32789389

Radix Representation

Decimal	32789367
Binary	1111101000101001101110111 (25 bits)
Octal	0o175051567
Hexadecimal	0x1F45377

Divisor Catalog (20)

Collatz Trajectory (201 steps to reach 1)

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

32,789,367 98,368,102 49,184,051 147,552,154 73,776,077 221,328,232 110,664,116 55,332,058 27,666,029 82,998,088 41,499,044 20,749,522 10,374,761 31,124,284 15,562,142 7,781,071 23,343,214 11,671,607 35,014,822 17,507,411 52,522,234 26,261,117 78,783,352 39,391,676 19,695,838 9,847,919 29,543,758 14,771,879 44,315,638 22,157,819 66,473,458 33,236,729 99,710,188 49,855,094 24,927,547 74,782,642 37,391,321 112,173,964 56,086,982 28,043,491 84,130,474 42,065,237 126,195,712 63,097,856 31,548,928 15,774,464 7,887,232 3,943,616 1,971,808 985,904 492,952 246,476 123,238 61,619 184,858 92,429 277,288 138,644 69,322 34,661

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