7,215,076

2² × 11 × 163979

7,215,076 factors as 2^2 × 11 × 163979. Its 12 positive divisors give a proper-divisor sum of 6,559,244, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 163979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,774,320

Proper Divisor Sum 6,559,244

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7215067 ← → #7215119

Radix Representation

Decimal	7215076
Binary	11011100001011111100100 (23 bits)
Octal	0o33413744
Hexadecimal	0x6E17E4

Divisor Catalog (12)

1 2 4 11 22 44 163,979 327,958 655,916 1,803,769 3,607,538 7,215,076

Collatz Trajectory (72 steps to reach 1)

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

7,215,076 3,607,538 1,803,769 5,411,308 2,705,654 1,352,827 4,058,482 2,029,241 6,087,724 3,043,862 1,521,931 4,565,794 2,282,897 6,848,692 3,424,346 1,712,173 5,136,520 2,568,260 1,284,130 642,065 1,926,196 963,098 481,549 1,444,648 722,324 361,162 180,581 541,744 270,872 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212

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