λ
Prime Ledger

9,062,730

2 × 32 × 5 × 101 × 997
Abundant Even Composite

9,062,730 has the prime decomposition 2 × 3^2 × 5 × 101 × 997. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 101 × 997
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,820,264
Proper Divisor Sum 14,757,534
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9062719 ← → #9062737

Radix Representation

Decimal 9062730
Binary 100010100100100101001010 (24 bits)
Octal 0o42444512
Hexadecimal 0x8A494A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 997 1,010 1,515 1,818 1,994 2,991 3,030 4,545 4,985 5,982 8,973 9,090 9,970 14,955 17,946 29,910 44,865 89,730 100,697 201,394 302,091 503,485 604,182 906,273 1,006,970 1,510,455 1,812,546 3,020,910 4,531,365 9,062,730

Collatz Trajectory (181 steps to reach 1)

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

9,062,730 4,531,365 13,594,096 6,797,048 3,398,524 1,699,262 849,631 2,548,894 1,274,447 3,823,342 1,911,671 5,735,014 2,867,507 8,602,522 4,301,261 12,903,784 6,451,892 3,225,946 1,612,973 4,838,920 2,419,460 1,209,730 604,865 1,814,596 907,298 453,649 1,360,948 680,474 340,237 1,020,712 510,356 255,178 127,589 382,768 191,384 95,692 47,846 23,923 71,770 35,885 107,656 53,828 26,914 13,457 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584

More profiles

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