λ
Prime Ledger

9,509,003

7 × 971 × 1399
Deficient Odd Composite

9,509,003 has the prime decomposition 7 × 971 × 1399. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 971 × 1399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,886,400
Proper Divisor Sum 1,377,397
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9508999 ← → #9509011

Radix Representation

Decimal 9509003
Binary 100100010001100010001011 (24 bits)
Octal 0o44214213
Hexadecimal 0x91188B

Divisor Catalog (8)

1 7 971 1,399 6,797 9,793 1,358,429 9,509,003

Collatz Trajectory (150 steps to reach 1)

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

9,509,003 28,527,010 14,263,505 42,790,516 21,395,258 10,697,629 32,092,888 16,046,444 8,023,222 4,011,611 12,034,834 6,017,417 18,052,252 9,026,126 4,513,063 13,539,190 6,769,595 20,308,786 10,154,393 30,463,180 15,231,590 7,615,795 22,847,386 11,423,693 34,271,080 17,135,540 8,567,770 4,283,885 12,851,656 6,425,828 3,212,914 1,606,457 4,819,372 2,409,686 1,204,843 3,614,530 1,807,265 5,421,796 2,710,898 1,355,449 4,066,348 2,033,174 1,016,587 3,049,762 1,524,881 4,574,644 2,287,322 1,143,661 3,430,984 1,715,492 857,746 428,873 1,286,620 643,310 321,655 964,966 482,483 1,447,450 723,725 2,171,176

More profiles

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