9,747,101

7 × 13 × 23 × 4657

9,747,101 factors as 7 × 13 × 23 × 4657. Its 16 positive divisors give a proper-divisor sum of 2,773,603, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 7 × 13 × 23 × 4657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,520,704

Proper Divisor Sum 2,773,603

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9747077 ← → #9747109

Radix Representation

Decimal	9747101
Binary	100101001011101010011101 (24 bits)
Octal	0o45135235
Hexadecimal	0x94BA9D

Divisor Catalog (16)

1 7 13 23 91 161 299 2,093 4,657 32,599 60,541 107,111 423,787 749,777 1,392,443 9,747,101

Collatz Trajectory (207 steps to reach 1)

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

9,747,101 29,241,304 14,620,652 7,310,326 3,655,163 10,965,490 5,482,745 16,448,236 8,224,118 4,112,059 12,336,178 6,168,089 18,504,268 9,252,134 4,626,067 13,878,202 6,939,101 20,817,304 10,408,652 5,204,326 2,602,163 7,806,490 3,903,245 11,709,736 5,854,868 2,927,434 1,463,717 4,391,152 2,195,576 1,097,788 548,894 274,447 823,342 411,671 1,235,014 617,507 1,852,522 926,261 2,778,784 1,389,392 694,696 347,348 173,674 86,837 260,512 130,256 65,128 32,564 16,282 8,141 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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