4,661,373

3 × 29 × 131 × 409

Starting at 4,661,373, the Collatz iteration reaches 1 after 193 steps. The first transition is 13984120; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 131 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,494,400

Proper Divisor Sum 1,833,027

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4661359 ← → #4661399

Radix Representation

Decimal	4661373
Binary	10001110010000001111101 (23 bits)
Octal	0o21620175
Hexadecimal	0x47207D

Divisor Catalog (16)

1 3 29 87 131 393 409 1,227 3,799 11,397 11,861 35,583 53,579 160,737 1,553,791 4,661,373

Collatz Trajectory (193 steps to reach 1)

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

4,661,373 13,984,120 6,992,060 3,496,030 1,748,015 5,244,046 2,622,023 7,866,070 3,933,035 11,799,106 5,899,553 17,698,660 8,849,330 4,424,665 13,273,996 6,636,998 3,318,499 9,955,498 4,977,749 14,933,248 7,466,624 3,733,312 1,866,656 933,328 466,664 233,332 116,666 58,333 175,000 87,500 43,750 21,875 65,626 32,813 98,440 49,220 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823

← Previous Integer #4,661,372 Browse Full Index Next Integer #4,661,374 →