λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,770,840

9,770,840

23 × 5 × 137 × 1783
Abundant Even Composite

9,770,840 factors as 2^3 × 5 × 137 × 1783. Its 32 positive divisors give a proper-divisor sum of 12,386,440, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 137 × 1783
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,157,280
Proper Divisor Sum 12,386,440
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9770821 ← → #9770851

Radix Representation

Decimal 9770840
Binary 100101010001011101011000 (24 bits)
Octal 0o45213530
Hexadecimal 0x951758

Divisor Catalog (32)

1 2 4 5 8 10 20 40 137 274 548 685 1,096 1,370 1,783 2,740 3,566 5,480 7,132 8,915 14,264 17,830 35,660 71,320 244,271 488,542 977,084 1,221,355 1,954,168 2,442,710 4,885,420 9,770,840

Collatz Trajectory (114 steps to reach 1)

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

9,770,840 4,885,420 2,442,710 1,221,355 3,664,066 1,832,033 5,496,100 2,748,050 1,374,025 4,122,076 2,061,038 1,030,519 3,091,558 1,545,779 4,637,338 2,318,669 6,956,008 3,478,004 1,739,002 869,501 2,608,504 1,304,252 652,126 326,063 978,190 489,095 1,467,286 733,643 2,200,930 1,100,465 3,301,396 1,650,698 825,349 2,476,048 1,238,024 619,012 309,506 154,753 464,260 232,130 116,065 348,196 174,098 87,049 261,148 130,574 65,287 195,862 97,931 293,794 146,897 440,692 220,346 110,173 330,520 165,260 82,630 41,315 123,946 61,973

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,770,839 Browse Full Index Next Integer #9,770,841 →