72,025,228

2² × 11 × 1636937

72,025,228 factors as 2^2 × 11 × 1636937. Its 12 positive divisors give a proper-divisor sum of 65,477,564, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 1636937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 137,502,792

Proper Divisor Sum 65,477,564

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #72025211 ← → #72025229

Radix Representation

Decimal	72025228
Binary	100010010110000010010001100 (27 bits)
Octal	0o422602214
Hexadecimal	0x44B048C

Divisor Catalog (12)

1 2 4 11 22 44 1,636,937 3,273,874 6,547,748 18,006,307 36,012,614 72,025,228

Collatz Trajectory (215 steps to reach 1)

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

72,025,228 36,012,614 18,006,307 54,018,922 27,009,461 81,028,384 40,514,192 20,257,096 10,128,548 5,064,274 2,532,137 7,596,412 3,798,206 1,899,103 5,697,310 2,848,655 8,545,966 4,272,983 12,818,950 6,409,475 19,228,426 9,614,213 28,842,640 14,421,320 7,210,660 3,605,330 1,802,665 5,407,996 2,703,998 1,351,999 4,055,998 2,027,999 6,083,998 3,041,999 9,125,998 4,562,999 13,688,998 6,844,499 20,533,498 10,266,749 30,800,248 15,400,124 7,700,062 3,850,031 11,550,094 5,775,047 17,325,142 8,662,571 25,987,714 12,993,857 38,981,572 19,490,786 9,745,393 29,236,180 14,618,090 7,309,045 21,927,136 10,963,568 5,481,784 2,740,892

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