73,051,624

2³ × 31 × 294563

73,051,624 factors as 2^3 × 31 × 294563. Its 16 positive divisors give a proper-divisor sum of 68,339,096, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 294563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 141,390,720

Proper Divisor Sum 68,339,096

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #73051621 ← → #73051651

Radix Representation

Decimal	73051624
Binary	100010110101010110111101000 (27 bits)
Octal	0o426526750
Hexadecimal	0x45AADE8

Divisor Catalog (16)

1 2 4 8 31 62 124 248 294,563 589,126 1,178,252 2,356,504 9,131,453 18,262,906 36,525,812 73,051,624

Collatz Trajectory (135 steps to reach 1)

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

73,051,624 36,525,812 18,262,906 9,131,453 27,394,360 13,697,180 6,848,590 3,424,295 10,272,886 5,136,443 15,409,330 7,704,665 23,113,996 11,556,998 5,778,499 17,335,498 8,667,749 26,003,248 13,001,624 6,500,812 3,250,406 1,625,203 4,875,610 2,437,805 7,313,416 3,656,708 1,828,354 914,177 2,742,532 1,371,266 685,633 2,056,900 1,028,450 514,225 1,542,676 771,338 385,669 1,157,008 578,504 289,252 144,626 72,313 216,940 108,470 54,235 162,706 81,353 244,060 122,030 61,015 183,046 91,523 274,570 137,285 411,856 205,928 102,964 51,482 25,741 77,224

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