72,394,878

2 × 3 × 3323 × 3631

Prime Factor Structure

Factorization String 2 × 3 × 3323 × 3631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 144,873,216

Proper Divisor Sum 72,478,338

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #72394877 ← → #72394897

Radix Representation

Decimal	72394878
Binary	100010100001010100001111110 (27 bits)
Octal	0o424124176
Hexadecimal	0x450A87E

Divisor Catalog (16)

1 2 3 6 3,323 3,631 6,646 7,262 9,969 10,893 19,938 21,786 12,065,813 24,131,626 36,197,439 72,394,878

Collatz Trajectory (228 steps to reach 1)

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

72,394,878 36,197,439 108,592,318 54,296,159 162,888,478 81,444,239 244,332,718 122,166,359 366,499,078 183,249,539 549,748,618 274,874,309 824,622,928 412,311,464 206,155,732 103,077,866 51,538,933 154,616,800 77,308,400 38,654,200 19,327,100 9,663,550 4,831,775 14,495,326 7,247,663 21,742,990 10,871,495 32,614,486 16,307,243 48,921,730 24,460,865 73,382,596 36,691,298 18,345,649 55,036,948 27,518,474 13,759,237 41,277,712 20,638,856 10,319,428 5,159,714 2,579,857 7,739,572 3,869,786 1,934,893 5,804,680 2,902,340 1,451,170 725,585 2,176,756 1,088,378 544,189 1,632,568 816,284 408,142 204,071 612,214 306,107 918,322 459,161

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