9,736,377

3 × 7 × 541 × 857

9,736,377 factors as 3 × 7 × 541 × 857. Its 16 positive divisors give a proper-divisor sum of 5,144,775, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 7 × 541 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,881,152

Proper Divisor Sum 5,144,775

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9736351 ← → #9736381

Radix Representation

Decimal	9736377
Binary	100101001001000010111001 (24 bits)
Octal	0o45110271
Hexadecimal	0x9490B9

Divisor Catalog (16)

1 3 7 21 541 857 1,623 2,571 3,787 5,999 11,361 17,997 463,637 1,390,911 3,245,459 9,736,377

Collatz Trajectory (176 steps to reach 1)

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

9,736,377 29,209,132 14,604,566 7,302,283 21,906,850 10,953,425 32,860,276 16,430,138 8,215,069 24,645,208 12,322,604 6,161,302 3,080,651 9,241,954 4,620,977 13,862,932 6,931,466 3,465,733 10,397,200 5,198,600 2,599,300 1,299,650 649,825 1,949,476 974,738 487,369 1,462,108 731,054 365,527 1,096,582 548,291 1,644,874 822,437 2,467,312 1,233,656 616,828 308,414 154,207 462,622 231,311 693,934 346,967 1,040,902 520,451 1,561,354 780,677 2,342,032 1,171,016 585,508 292,754 146,377 439,132 219,566 109,783 329,350 164,675 494,026 247,013 741,040 370,520

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