9,701,335

5 × 7 × 73 × 3797

9,701,335 factors as 5 × 7 × 73 × 3797. Its 16 positive divisors give a proper-divisor sum of 3,789,161, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 5 × 7 × 73 × 3797

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,490,496

Proper Divisor Sum 3,789,161

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9701333 ← → #9701347

Radix Representation

Decimal	9701335
Binary	100101000000011111010111 (24 bits)
Octal	0o45003727
Hexadecimal	0x9407D7

Divisor Catalog (16)

1 5 7 35 73 365 511 2,555 3,797 18,985 26,579 132,895 277,181 1,385,905 1,940,267 9,701,335

Collatz Trajectory (163 steps to reach 1)

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

9,701,335 29,104,006 14,552,003 43,656,010 21,828,005 65,484,016 32,742,008 16,371,004 8,185,502 4,092,751 12,278,254 6,139,127 18,417,382 9,208,691 27,626,074 13,813,037 41,439,112 20,719,556 10,359,778 5,179,889 15,539,668 7,769,834 3,884,917 11,654,752 5,827,376 2,913,688 1,456,844 728,422 364,211 1,092,634 546,317 1,638,952 819,476 409,738 204,869 614,608 307,304 153,652 76,826 38,413 115,240 57,620 28,810 14,405 43,216 21,608 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286

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