2,002,075

5² × 53 × 1511

2,002,075 has digital root 7. The neighboring primes are 2002061 and 2002079; its proper-divisor sum differs from the starting integer by -1,473,062.

Prime Factor Structure

Factorization String 5^2 × 53 × 1511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,531,088

Proper Divisor Sum 529,013

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2002061 ← → #2002079

Radix Representation

Decimal	2002075
Binary	111101000110010011011 (21 bits)
Octal	0o7506233
Hexadecimal	0x1E8C9B

Divisor Catalog (12)

1 5 25 53 265 1,325 1,511 7,555 37,775 80,083 400,415 2,002,075

Collatz Trajectory (259 steps to reach 1)

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

2,002,075 6,006,226 3,003,113 9,009,340 4,504,670 2,252,335 6,757,006 3,378,503 10,135,510 5,067,755 15,203,266 7,601,633 22,804,900 11,402,450 5,701,225 17,103,676 8,551,838 4,275,919 12,827,758 6,413,879 19,241,638 9,620,819 28,862,458 14,431,229 43,293,688 21,646,844 10,823,422 5,411,711 16,235,134 8,117,567 24,352,702 12,176,351 36,529,054 18,264,527 54,793,582 27,396,791 82,190,374 41,095,187 123,285,562 61,642,781 184,928,344 92,464,172 46,232,086 23,116,043 69,348,130 34,674,065 104,022,196 52,011,098 26,005,549 78,016,648 39,008,324 19,504,162 9,752,081 29,256,244 14,628,122 7,314,061 21,942,184 10,971,092 5,485,546 2,742,773

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