λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,845,490

9,845,490

2 × 3 × 5 × 307 × 1069
Abundant Even Composite

9,845,490 factors as 2 × 3 × 5 × 307 × 1069. Its 32 positive divisors give a proper-divisor sum of 13,882,830, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 307 × 1069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,728,320
Proper Divisor Sum 13,882,830
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9845489 ← → #9845491

Radix Representation

Decimal 9845490
Binary 100101100011101011110010 (24 bits)
Octal 0o45435362
Hexadecimal 0x963AF2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 307 614 921 1,069 1,535 1,842 2,138 3,070 3,207 4,605 5,345 6,414 9,210 10,690 16,035 32,070 328,183 656,366 984,549 1,640,915 1,969,098 3,281,830 4,922,745 9,845,490

Collatz Trajectory (207 steps to reach 1)

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

9,845,490 4,922,745 14,768,236 7,384,118 3,692,059 11,076,178 5,538,089 16,614,268 8,307,134 4,153,567 12,460,702 6,230,351 18,691,054 9,345,527 28,036,582 14,018,291 42,054,874 21,027,437 63,082,312 31,541,156 15,770,578 7,885,289 23,655,868 11,827,934 5,913,967 17,741,902 8,870,951 26,612,854 13,306,427 39,919,282 19,959,641 59,878,924 29,939,462 14,969,731 44,909,194 22,454,597 67,363,792 33,681,896 16,840,948 8,420,474 4,210,237 12,630,712 6,315,356 3,157,678 1,578,839 4,736,518 2,368,259 7,104,778 3,552,389 10,657,168 5,328,584 2,664,292 1,332,146 666,073 1,998,220 999,110 499,555 1,498,666 749,333 2,248,000

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,845,489 Browse Full Index Next Integer #9,845,491 →