7,679,162

2 × 73 × 149 × 353

7,679,162 factors as 2 × 73 × 149 × 353. Its 16 positive divisors give a proper-divisor sum of 4,109,038, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 73 × 149 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,788,200

Proper Divisor Sum 4,109,038

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7679153 ← → #7679197

Radix Representation

Decimal	7679162
Binary	11101010010110010111010 (23 bits)
Octal	0o35226272
Hexadecimal	0x752CBA

Divisor Catalog (16)

1 2 73 146 149 298 353 706 10,877 21,754 25,769 51,538 52,597 105,194 3,839,581 7,679,162

Collatz Trajectory (72 steps to reach 1)

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

7,679,162 3,839,581 11,518,744 5,759,372 2,879,686 1,439,843 4,319,530 2,159,765 6,479,296 3,239,648 1,619,824 809,912 404,956 202,478 101,239 303,718 151,859 455,578 227,789 683,368 341,684 170,842 85,421 256,264 128,132 64,066 32,033 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226

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