7,142,013

3⁶ × 97 × 101

7,142,013 factors as 3^6 × 97 × 101. Its 28 positive divisors give a proper-divisor sum of 3,783,615, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^6 × 97 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 10,925,628

Proper Divisor Sum 3,783,615

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7142011 ← → #7142027

Radix Representation

Decimal	7142013
Binary	11011001111101001111101 (23 bits)
Octal	0o33175175
Hexadecimal	0x6CFA7D

Divisor Catalog (28)

Collatz Trajectory (173 steps to reach 1)

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

7,142,013 21,426,040 10,713,020 5,356,510 2,678,255 8,034,766 4,017,383 12,052,150 6,026,075 18,078,226 9,039,113 27,117,340 13,558,670 6,779,335 20,338,006 10,169,003 30,507,010 15,253,505 45,760,516 22,880,258 11,440,129 34,320,388 17,160,194 8,580,097 25,740,292 12,870,146 6,435,073 19,305,220 9,652,610 4,826,305 14,478,916 7,239,458 3,619,729 10,859,188 5,429,594 2,714,797 8,144,392 4,072,196 2,036,098 1,018,049 3,054,148 1,527,074 763,537 2,290,612 1,145,306 572,653 1,717,960 858,980 429,490 214,745 644,236 322,118 161,059 483,178 241,589 724,768 362,384 181,192 90,596 45,298

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