λ
Prime Ledger

7,670,215

5 × 72 × 31307
Deficient Odd Composite

7,670,215 has the prime decomposition 5 × 7^2 × 31307. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 31307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,707,336
Proper Divisor Sum 3,037,121
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7670207 ← → #7670231

Radix Representation

Decimal 7670215
Binary 11101010000100111000111 (23 bits)
Octal 0o35204707
Hexadecimal 0x7509C7

Divisor Catalog (12)

1 5 7 35 49 245 31,307 156,535 219,149 1,095,745 1,534,043 7,670,215

Collatz Trajectory (217 steps to reach 1)

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

7,670,215 23,010,646 11,505,323 34,515,970 17,257,985 51,773,956 25,886,978 12,943,489 38,830,468 19,415,234 9,707,617 29,122,852 14,561,426 7,280,713 21,842,140 10,921,070 5,460,535 16,381,606 8,190,803 24,572,410 12,286,205 36,858,616 18,429,308 9,214,654 4,607,327 13,821,982 6,910,991 20,732,974 10,366,487 31,099,462 15,549,731 46,649,194 23,324,597 69,973,792 34,986,896 17,493,448 8,746,724 4,373,362 2,186,681 6,560,044 3,280,022 1,640,011 4,920,034 2,460,017 7,380,052 3,690,026 1,845,013 5,535,040 2,767,520 1,383,760 691,880 345,940 172,970 86,485 259,456 129,728 64,864 32,432 16,216 8,108

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