9,760,137

3 × 233 × 13963

9,760,137 has digital root 6. The neighboring primes are 9760117 and 9760151; its proper-divisor sum differs from the starting integer by -6,449,970.

Prime Factor Structure

Factorization String 3 × 233 × 13963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,070,304

Proper Divisor Sum 3,310,167

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9760117 ← → #9760151

Radix Representation

Decimal	9760137
Binary	100101001110110110001001 (24 bits)
Octal	0o45166611
Hexadecimal	0x94ED89

Divisor Catalog (8)

1 3 233 699 13,963 41,889 3,253,379 9,760,137

Collatz Trajectory (207 steps to reach 1)

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

9,760,137 29,280,412 14,640,206 7,320,103 21,960,310 10,980,155 32,940,466 16,470,233 49,410,700 24,705,350 12,352,675 37,058,026 18,529,013 55,587,040 27,793,520 13,896,760 6,948,380 3,474,190 1,737,095 5,211,286 2,605,643 7,816,930 3,908,465 11,725,396 5,862,698 2,931,349 8,794,048 4,397,024 2,198,512 1,099,256 549,628 274,814 137,407 412,222 206,111 618,334 309,167 927,502 463,751 1,391,254 695,627 2,086,882 1,043,441 3,130,324 1,565,162 782,581 2,347,744 1,173,872 586,936 293,468 146,734 73,367 220,102 110,051 330,154 165,077 495,232 247,616 123,808 61,904

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