10,072,341

3² × 419 × 2671

10,072,341 factors as 3^2 × 419 × 2671. Its 12 positive divisors give a proper-divisor sum of 4,516,779, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3^2 × 419 × 2671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,589,120

Proper Divisor Sum 4,516,779

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10072339 ← → #10072343

Radix Representation

Decimal	10072341
Binary	100110011011000100010101 (24 bits)
Octal	0o46330425
Hexadecimal	0x99B115

Divisor Catalog (12)

1 3 9 419 1,257 2,671 3,771 8,013 24,039 1,119,149 3,357,447 10,072,341

Collatz Trajectory (145 steps to reach 1)

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

10,072,341 30,217,024 15,108,512 7,554,256 3,777,128 1,888,564 944,282 472,141 1,416,424 708,212 354,106 177,053 531,160 265,580 132,790 66,395 199,186 99,593 298,780 149,390 74,695 224,086 112,043 336,130 168,065 504,196 252,098 126,049 378,148 189,074 94,537 283,612 141,806 70,903 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825 179,476 89,738 44,869 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775

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