λ
Matchaa Zalai

9,737,407

9737407
Deficient Odd Prime

9,737,407 factors as 9737407. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 9737407
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,737,408
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9737389 ← → #9737423

Radix Representation

Decimal 9737407
Binary 100101001001010010111111 (24 bits)
Octal 0o45112277
Hexadecimal 0x9494BF

Divisor Catalog (2)

Collatz Trajectory (251 steps to reach 1)

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

9,737,407 29,212,222 14,606,111 43,818,334 21,909,167 65,727,502 32,863,751 98,591,254 49,295,627 147,886,882 73,943,441 221,830,324 110,915,162 55,457,581 166,372,744 83,186,372 41,593,186 20,796,593 62,389,780 31,194,890 15,597,445 46,792,336 23,396,168 11,698,084 5,849,042 2,924,521 8,773,564 4,386,782 2,193,391 6,580,174 3,290,087 9,870,262 4,935,131 14,805,394 7,402,697 22,208,092 11,104,046 5,552,023 16,656,070 8,328,035 24,984,106 12,492,053 37,476,160 18,738,080 9,369,040 4,684,520 2,342,260 1,171,130 585,565 1,756,696 878,348 439,174 219,587 658,762 329,381 988,144 494,072 247,036 123,518 61,759

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