9,749,637

3² × 313 × 3461

9,749,637 factors as 3^2 × 313 × 3461. Its 12 positive divisors give a proper-divisor sum of 4,382,247, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 313 × 3461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,131,884

Proper Divisor Sum 4,382,247

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9749629 ← → #9749647

Radix Representation

Decimal	9749637
Binary	100101001100010010000101 (24 bits)
Octal	0o45142205
Hexadecimal	0x94C485

Divisor Catalog (12)

1 3 9 313 939 2,817 3,461 10,383 31,149 1,083,293 3,249,879 9,749,637

Collatz Trajectory (207 steps to reach 1)

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

9,749,637 29,248,912 14,624,456 7,312,228 3,656,114 1,828,057 5,484,172 2,742,086 1,371,043 4,113,130 2,056,565 6,169,696 3,084,848 1,542,424 771,212 385,606 192,803 578,410 289,205 867,616 433,808 216,904 108,452 54,226 27,113 81,340 40,670 20,335 61,006 30,503 91,510 45,755 137,266 68,633 205,900 102,950 51,475 154,426 77,213 231,640 115,820 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726 48,863 146,590 73,295 219,886 109,943 329,830 164,915 494,746 247,373 742,120 371,060

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