72,041,090

2 × 5 × 11 × 569 × 1151

72,041,090 factors as 2 × 5 × 11 × 569 × 1151. Its 32 positive divisors give a proper-divisor sum of 69,793,150, so this integer is deficient. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 569 × 1151

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 141,834,240

Proper Divisor Sum 69,793,150

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #72041089 ← → #72041093

Radix Representation

Decimal	72041090
Binary	100010010110100001010000010 (27 bits)
Octal	0o422641202
Hexadecimal	0x44B4282

Divisor Catalog (32)

Collatz Trajectory (303 steps to reach 1)

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

72,041,090 36,020,545 108,061,636 54,030,818 27,015,409 81,046,228 40,523,114 20,261,557 60,784,672 30,392,336 15,196,168 7,598,084 3,799,042 1,899,521 5,698,564 2,849,282 1,424,641 4,273,924 2,136,962 1,068,481 3,205,444 1,602,722 801,361 2,404,084 1,202,042 601,021 1,803,064 901,532 450,766 225,383 676,150 338,075 1,014,226 507,113 1,521,340 760,670 380,335 1,141,006 570,503 1,711,510 855,755 2,567,266 1,283,633 3,850,900 1,925,450 962,725 2,888,176 1,444,088 722,044 361,022 180,511 541,534 270,767 812,302 406,151 1,218,454 609,227 1,827,682 913,841 2,741,524

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