272,079

3⁴ × 3359

272,079 has digital root 9. The neighboring primes are 272059 and 272093; its proper-divisor sum differs from the starting integer by -137,598.

Prime Factor Structure

Factorization String 3^4 × 3359

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 406,560

Proper Divisor Sum 134,481

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #272059 ← → #272093

Radix Representation

Decimal	272079
Binary	1000010011011001111 (19 bits)
Octal	0o1023317
Hexadecimal	0x426CF

Divisor Catalog (10)

1 3 9 27 81 3,359 10,077 30,231 90,693 272,079

Collatz Trajectory (176 steps to reach 1)

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

272,079 816,238 408,119 1,224,358 612,179 1,836,538 918,269 2,754,808 1,377,404 688,702 344,351 1,033,054 516,527 1,549,582 774,791 2,324,374 1,162,187 3,486,562 1,743,281 5,229,844 2,614,922 1,307,461 3,922,384 1,961,192 980,596 490,298 245,149 735,448 367,724 183,862 91,931 275,794 137,897 413,692 206,846 103,423 310,270 155,135 465,406 232,703 698,110 349,055 1,047,166 523,583 1,570,750 785,375 2,356,126 1,178,063 3,534,190 1,767,095 5,301,286 2,650,643 7,951,930 3,975,965 11,927,896 5,963,948 2,981,974 1,490,987 4,472,962 2,236,481

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