λ
Integer Codex

9,761,215

5 × 43 × 83 × 547
Deficient Odd Composite

For 9,761,215, the 16 positive divisors have a total of 12,152,448. Removing 9,761,215 leaves 2,391,233, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 43 × 83 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,152,448
Proper Divisor Sum 2,391,233
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9761209 ← → #9761221

Radix Representation

Decimal 9761215
Binary 100101001111000110111111 (24 bits)
Octal 0o45170677
Hexadecimal 0x94F1BF

Divisor Catalog (16)

1 5 43 83 215 415 547 2,735 3,569 17,845 23,521 45,401 117,605 227,005 1,952,243 9,761,215

Collatz Trajectory (251 steps to reach 1)

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

9,761,215 29,283,646 14,641,823 43,925,470 21,962,735 65,888,206 32,944,103 98,832,310 49,416,155 148,248,466 74,124,233 222,372,700 111,186,350 55,593,175 166,779,526 83,389,763 250,169,290 125,084,645 375,253,936 187,626,968 93,813,484 46,906,742 23,453,371 70,360,114 35,180,057 105,540,172 52,770,086 26,385,043 79,155,130 39,577,565 118,732,696 59,366,348 29,683,174 14,841,587 44,524,762 22,262,381 66,787,144 33,393,572 16,696,786 8,348,393 25,045,180 12,522,590 6,261,295 18,783,886 9,391,943 28,175,830 14,087,915 42,263,746 21,131,873 63,395,620 31,697,810 15,848,905 47,546,716 23,773,358 11,886,679 35,660,038 17,830,019 53,490,058 26,745,029 80,235,088

More profiles

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