7,120,126

2 × 13 × 53 × 5167

For 7,120,126, the 16 positive divisors have a total of 11,721,024. Removing 7,120,126 leaves 4,600,898, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 53 × 5167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,721,024

Proper Divisor Sum 4,600,898

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7120123 ← → #7120147

Radix Representation

Decimal	7120126
Binary	11011001010010011111110 (23 bits)
Octal	0o33122376
Hexadecimal	0x6CA4FE

Divisor Catalog (16)

1 2 13 26 53 106 689 1,378 5,167 10,334 67,171 134,342 273,851 547,702 3,560,063 7,120,126

Collatz Trajectory (98 steps to reach 1)

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

7,120,126 3,560,063 10,680,190 5,340,095 16,020,286 8,010,143 24,030,430 12,015,215 36,045,646 18,022,823 54,068,470 27,034,235 81,102,706 40,551,353 121,654,060 60,827,030 30,413,515 91,240,546 45,620,273 136,860,820 68,430,410 34,215,205 102,645,616 51,322,808 25,661,404 12,830,702 6,415,351 19,246,054 9,623,027 28,869,082 14,434,541 43,303,624 21,651,812 10,825,906 5,412,953 16,238,860 8,119,430 4,059,715 12,179,146 6,089,573 18,268,720 9,134,360 4,567,180 2,283,590 1,141,795 3,425,386 1,712,693 5,138,080 2,569,040 1,284,520 642,260 321,130 160,565 481,696 240,848 120,424 60,212 30,106 15,053 45,160

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