73,742

2 × 36871

73,742 has digital root 5. The neighboring primes are 73727 and 73751; its proper-divisor sum differs from the starting integer by -36,868.

Prime Factor Structure

Factorization String 2 × 36871

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 110,616

Proper Divisor Sum 36,874

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #73727 ← → #73751

Radix Representation

Decimal	73742
Binary	10010000000001110 (17 bits)
Octal	0o220016
Hexadecimal	0x1200E

Divisor Catalog (4)

1 2 36,871 73,742

Collatz Trajectory (94 steps to reach 1)

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

73,742 36,871 110,614 55,307 165,922 82,961 248,884 124,442 62,221 186,664 93,332 46,666 23,333 70,000 35,000 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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