73,729

17 × 4337

73,729 factors as 17 × 4337. Its 4 positive divisors give a proper-divisor sum of 4,355, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 17 × 4337

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 78,084

Proper Divisor Sum 4,355

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #73727 ← → #73751

Radix Representation

Decimal	73729
Binary	10010000000000001 (17 bits)
Octal	0o220001
Hexadecimal	0x12001

Divisor Catalog (4)

1 17 4,337 73,729

Collatz Trajectory (94 steps to reach 1)

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

73,729 221,188 110,594 55,297 165,892 82,946 41,473 124,420 62,210 31,105 93,316 46,658 23,329 69,988 34,994 17,497 52,492 26,246 13,123 39,370 19,685 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #73,728 Browse Full Index Next Integer #73,730 →