7,327,998

2 × 3² × 37 × 11003

7,327,998 has digital root 9. The neighboring primes are 7327973 and 7328011; its proper-divisor sum differs from the starting integer by 1,651,932.

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 11003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,307,928

Proper Divisor Sum 8,979,930

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7327973 ← → #7328011

Radix Representation

Decimal	7327998
Binary	11011111101000011111110 (23 bits)
Octal	0o33750376
Hexadecimal	0x6FD0FE

Divisor Catalog (24)

1 2 3 6 9 18 37 74 111 222 333 666 11,003 22,006 33,009 66,018 99,027 198,054 407,111 814,222 1,221,333 2,442,666 3,663,999 7,327,998

Collatz Trajectory (111 steps to reach 1)

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

7,327,998 3,663,999 10,991,998 5,495,999 16,487,998 8,243,999 24,731,998 12,365,999 37,097,998 18,548,999 55,646,998 27,823,499 83,470,498 41,735,249 125,205,748 62,602,874 31,301,437 93,904,312 46,952,156 23,476,078 11,738,039 35,214,118 17,607,059 52,821,178 26,410,589 79,231,768 39,615,884 19,807,942 9,903,971 29,711,914 14,855,957 44,567,872 22,283,936 11,141,968 5,570,984 2,785,492 1,392,746 696,373 2,089,120 1,044,560 522,280 261,140 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748

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