λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,707,362

9,707,362

2 × 7 × 67 × 79 × 131
Deficient Even Composite

9,707,362 factors as 2 × 7 × 67 × 79 × 131. Its 32 positive divisors give a proper-divisor sum of 7,526,558, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 7 × 67 × 79 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,233,920
Proper Divisor Sum 7,526,558
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9707359 ← → #9707381

Radix Representation

Decimal 9707362
Binary 100101000001111101100010 (24 bits)
Octal 0o45017542
Hexadecimal 0x941F62

Divisor Catalog (32)

1 2 7 14 67 79 131 134 158 262 469 553 917 938 1,106 1,834 5,293 8,777 10,349 10,586 17,554 20,698 37,051 61,439 72,443 74,102 122,878 144,886 693,383 1,386,766 4,853,681 9,707,362

Collatz Trajectory (207 steps to reach 1)

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

9,707,362 4,853,681 14,561,044 7,280,522 3,640,261 10,920,784 5,460,392 2,730,196 1,365,098 682,549 2,047,648 1,023,824 511,912 255,956 127,978 63,989 191,968 95,984 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,707,361 Browse Full Index Next Integer #9,707,363 →