λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,389,184

10,389,184

26 × 13 × 12487
Abundant Even Composite

10,389,184 factors as 2^6 × 13 × 12487. Its 28 positive divisors give a proper-divisor sum of 11,814,480, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 12487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 22,203,664
Proper Divisor Sum 11,814,480
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #10389179 ← → #10389191

Radix Representation

Decimal 10389184
Binary 100111101000011011000000 (24 bits)
Octal 0o47503300
Hexadecimal 0x9E86C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 12,487 24,974 49,948 99,896 162,331 199,792 324,662 399,584 649,324 799,168 1,298,648 2,597,296 5,194,592 10,389,184

Collatz Trajectory (127 steps to reach 1)

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

10,389,184 5,194,592 2,597,296 1,298,648 649,324 324,662 162,331 486,994 243,497 730,492 365,246 182,623 547,870 273,935 821,806 410,903 1,232,710 616,355 1,849,066 924,533 2,773,600 1,386,800 693,400 346,700 173,350 86,675 260,026 130,013 390,040 195,020 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #10,389,183 Browse Full Index Next Integer #10,389,185 →