17,606,128

2⁴ × 743 × 1481

17,606,128 factors as 2^4 × 743 × 1481. Its 20 positive divisors give a proper-divisor sum of 16,574,720, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 743 × 1481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 34,180,848

Proper Divisor Sum 16,574,720

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #17606111 ← → #17606129

Radix Representation

Decimal	17606128
Binary	1000011001010010111110000 (25 bits)
Octal	0o103122760
Hexadecimal	0x10CA5F0

Divisor Catalog (20)

Collatz Trajectory (182 steps to reach 1)

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

17,606,128 8,803,064 4,401,532 2,200,766 1,100,383 3,301,150 1,650,575 4,951,726 2,475,863 7,427,590 3,713,795 11,141,386 5,570,693 16,712,080 8,356,040 4,178,020 2,089,010 1,044,505 3,133,516 1,566,758 783,379 2,350,138 1,175,069 3,525,208 1,762,604 881,302 440,651 1,321,954 660,977 1,982,932 991,466 495,733 1,487,200 743,600 371,800 185,900 92,950 46,475 139,426 69,713 209,140 104,570 52,285 156,856 78,428 39,214 19,607 58,822 29,411 88,234 44,117 132,352 66,176 33,088 16,544 8,272 4,136 2,068 1,034 517

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