9,702,667

13 × 461 × 1619

9,702,667 factors as 13 × 461 × 1619. Its 8 positive divisors give a proper-divisor sum of 775,493, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 13 × 461 × 1619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,478,160

Proper Divisor Sum 775,493

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9702629 ← → #9702677

Radix Representation

Decimal	9702667
Binary	100101000000110100001011 (24 bits)
Octal	0o45006413
Hexadecimal	0x940D0B

Divisor Catalog (8)

1 13 461 1,619 5,993 21,047 746,359 9,702,667

Collatz Trajectory (114 steps to reach 1)

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

9,702,667 29,108,002 14,554,001 43,662,004 21,831,002 10,915,501 32,746,504 16,373,252 8,186,626 4,093,313 12,279,940 6,139,970 3,069,985 9,209,956 4,604,978 2,302,489 6,907,468 3,453,734 1,726,867 5,180,602 2,590,301 7,770,904 3,885,452 1,942,726 971,363 2,914,090 1,457,045 4,371,136 2,185,568 1,092,784 546,392 273,196 136,598 68,299 204,898 102,449 307,348 153,674 76,837 230,512 115,256 57,628 28,814 14,407 43,222 21,611 64,834 32,417 97,252 48,626 24,313 72,940 36,470 18,235 54,706 27,353 82,060 41,030 20,515 61,546

← Previous Integer #9,702,666 Browse Full Index Next Integer #9,702,668 →