λ
Prime Ledger

2,326,428

22 × 33 × 13 × 1657
Abundant Even Composite

2,326,428 has the prime decomposition 2^2 × 3^3 × 13 × 1657. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,499,360
Proper Divisor Sum 4,172,932
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2326421 ← → #2326439

Radix Representation

Decimal 2326428
Binary 1000110111111110011100 (22 bits)
Octal 0o10677634
Hexadecimal 0x237F9C

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 1,657 3,314 4,971 6,628 9,942 14,913 19,884 21,541 29,826 43,082 44,739 59,652 64,623 86,164 89,478 129,246 178,956 193,869 258,492 387,738 581,607 775,476 1,163,214 2,326,428

Collatz Trajectory (86 steps to reach 1)

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

2,326,428 1,163,214 581,607 1,744,822 872,411 2,617,234 1,308,617 3,925,852 1,962,926 981,463 2,944,390 1,472,195 4,416,586 2,208,293 6,624,880 3,312,440 1,656,220 828,110 414,055 1,242,166 621,083 1,863,250 931,625 2,794,876 1,397,438 698,719 2,096,158 1,048,079 3,144,238 1,572,119 4,716,358 2,358,179 7,074,538 3,537,269 10,611,808 5,305,904 2,652,952 1,326,476 663,238 331,619 994,858 497,429 1,492,288 746,144 373,072 186,536 93,268 46,634 23,317 69,952 34,976 17,488 8,744 4,372 2,186 1,093 3,280 1,640 820 410

More profiles

← Previous Integer #2,326,427 Browse Full Index Next Integer #2,326,429 →