9,760,970

2 × 5 × 23 × 31 × 37²

For 9,760,970, the 48 positive divisors have a total of 19,450,368. Removing 9,760,970 leaves 9,689,398, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 31 × 37^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,450,368

Proper Divisor Sum 9,689,398

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9760969 ← → #9760973

Radix Representation

Decimal	9760970
Binary	100101001111000011001010 (24 bits)
Octal	0o45170312
Hexadecimal	0x94F0CA

Divisor Catalog (48)

1 2 5 10 23 31 37 46 62 74 115 155 185 230 310 370 713 851 1,147 1,369 1,426 1,702 2,294 2,738 3,565 4,255 5,735 6,845 7,130 8,510 11,470 13,690 26,381 31,487 42,439 52,762 62,974 84,878 131,905 157,435 212,195 263,810 314,870 424,390 976,097 1,952,194 4,880,485 9,760,970

Collatz Trajectory (114 steps to reach 1)

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

9,760,970 4,880,485 14,641,456 7,320,728 3,660,364 1,830,182 915,091 2,745,274 1,372,637 4,117,912 2,058,956 1,029,478 514,739 1,544,218 772,109 2,316,328 1,158,164 579,082 289,541 868,624 434,312 217,156 108,578 54,289 162,868 81,434 40,717 122,152 61,076 30,538 15,269 45,808 22,904 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721

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