8,009,032

2³ × 19 × 52691

For 8,009,032, the 16 positive divisors have a total of 15,807,600. Removing 8,009,032 leaves 7,798,568, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 19 × 52691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,807,600

Proper Divisor Sum 7,798,568

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8009011 ← → #8009033

Radix Representation

Decimal	8009032
Binary	11110100011010101001000 (23 bits)
Octal	0o36432510
Hexadecimal	0x7A3548

Divisor Catalog (16)

1 2 4 8 19 38 76 152 52,691 105,382 210,764 421,528 1,001,129 2,002,258 4,004,516 8,009,032

Collatz Trajectory (93 steps to reach 1)

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

8,009,032 4,004,516 2,002,258 1,001,129 3,003,388 1,501,694 750,847 2,252,542 1,126,271 3,378,814 1,689,407 5,068,222 2,534,111 7,602,334 3,801,167 11,403,502 5,701,751 17,105,254 8,552,627 25,657,882 12,828,941 38,486,824 19,243,412 9,621,706 4,810,853 14,432,560 7,216,280 3,608,140 1,804,070 902,035 2,706,106 1,353,053 4,059,160 2,029,580 1,014,790 507,395 1,522,186 761,093 2,283,280 1,141,640 570,820 285,410 142,705 428,116 214,058 107,029 321,088 160,544 80,272 40,136 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468

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