3,012,948

2² × 3² × 127 × 659

3,012,948 has digital root 9. The neighboring primes are 3012941 and 3012949; its proper-divisor sum differs from the starting integer by 1,661,784.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 127 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,687,680

Proper Divisor Sum 4,674,732

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3012941 ← → #3012949

Radix Representation

Decimal	3012948
Binary	1011011111100101010100 (22 bits)
Octal	0o13374524
Hexadecimal	0x2DF954

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 127 254 381 508 659 762 1,143 1,318 1,524 1,977 2,286 2,636 3,954 4,572 5,931 7,908 11,862 23,724 83,693 167,386 251,079 334,772 502,158 753,237 1,004,316 1,506,474 3,012,948

Collatz Trajectory (133 steps to reach 1)

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

3,012,948 1,506,474 753,237 2,259,712 1,129,856 564,928 282,464 141,232 70,616 35,308 17,654 8,827 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190

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