7,360,101

3² × 7 × 116827

7,360,101 factors as 3^2 × 7 × 116827. Its 12 positive divisors give a proper-divisor sum of 4,790,011, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 116827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,150,112

Proper Divisor Sum 4,790,011

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7360097 ← → #7360103

Radix Representation

Decimal	7360101
Binary	11100000100111001100101 (23 bits)
Octal	0o34047145
Hexadecimal	0x704E65

Divisor Catalog (12)

1 3 7 9 21 63 116,827 350,481 817,789 1,051,443 2,453,367 7,360,101

Collatz Trajectory (160 steps to reach 1)

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

7,360,101 22,080,304 11,040,152 5,520,076 2,760,038 1,380,019 4,140,058 2,070,029 6,210,088 3,105,044 1,552,522 776,261 2,328,784 1,164,392 582,196 291,098 145,549 436,648 218,324 109,162 54,581 163,744 81,872 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786

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