9,757,797

3 × 7 × 131 × 3547

9,757,797 factors as 3 × 7 × 131 × 3547. Its 16 positive divisors give a proper-divisor sum of 5,228,955, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 3 × 7 × 131 × 3547

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,986,752

Proper Divisor Sum 5,228,955

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #9757793 ← → #9757799

Radix Representation

Decimal	9757797
Binary	100101001110010001100101 (24 bits)
Octal	0o45162145
Hexadecimal	0x94E465

Divisor Catalog (16)

1 3 7 21 131 393 917 2,751 3,547 10,641 24,829 74,487 464,657 1,393,971 3,252,599 9,757,797

Collatz Trajectory (282 steps to reach 1)

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

9,757,797 29,273,392 14,636,696 7,318,348 3,659,174 1,829,587 5,488,762 2,744,381 8,233,144 4,116,572 2,058,286 1,029,143 3,087,430 1,543,715 4,631,146 2,315,573 6,946,720 3,473,360 1,736,680 868,340 434,170 217,085 651,256 325,628 162,814 81,407 244,222 122,111 366,334 183,167 549,502 274,751 824,254 412,127 1,236,382 618,191 1,854,574 927,287 2,781,862 1,390,931 4,172,794 2,086,397 6,259,192 3,129,596 1,564,798 782,399 2,347,198 1,173,599 3,520,798 1,760,399 5,281,198 2,640,599 7,921,798 3,960,899 11,882,698 5,941,349 17,824,048 8,912,024 4,456,012 2,228,006

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