29,593,750

2 × 5⁶ × 947

29,593,750 factors as 2 × 5^6 × 947. Its 28 positive divisors give a proper-divisor sum of 25,952,414, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 5^6 × 947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 55,546,164

Proper Divisor Sum 25,952,414

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #29593727 ← → #29593757

Radix Representation

Decimal	29593750
Binary	1110000111001000010010110 (25 bits)
Octal	0o160710226
Hexadecimal	0x1C39096

Divisor Catalog (28)

Collatz Trajectory (175 steps to reach 1)

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

29,593,750 14,796,875 44,390,626 22,195,313 66,585,940 33,292,970 16,646,485 49,939,456 24,969,728 12,484,864 6,242,432 3,121,216 1,560,608 780,304 390,152 195,076 97,538 48,769 146,308 73,154 36,577 109,732 54,866 27,433 82,300 41,150 20,575 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145

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