1,736,743

37 × 73 × 643

1,736,743 has digital root 4. The neighboring primes are 1736729 and 1736759; its proper-divisor sum differs from the starting integer by -1,662,558.

Prime Factor Structure

Factorization String 37 × 73 × 643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,810,928

Proper Divisor Sum 74,185

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1736729 ← → #1736759

Radix Representation

Decimal	1736743
Binary	110101000000000100111 (21 bits)
Octal	0o6500047
Hexadecimal	0x1A8027

Divisor Catalog (8)

1 37 73 643 2,701 23,791 46,939 1,736,743

Collatz Trajectory (127 steps to reach 1)

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

1,736,743 5,210,230 2,605,115 7,815,346 3,907,673 11,723,020 5,861,510 2,930,755 8,792,266 4,396,133 13,188,400 6,594,200 3,297,100 1,648,550 824,275 2,472,826 1,236,413 3,709,240 1,854,620 927,310 463,655 1,390,966 695,483 2,086,450 1,043,225 3,129,676 1,564,838 782,419 2,347,258 1,173,629 3,520,888 1,760,444 880,222 440,111 1,320,334 660,167 1,980,502 990,251 2,970,754 1,485,377 4,456,132 2,228,066 1,114,033 3,342,100 1,671,050 835,525 2,506,576 1,253,288 626,644 313,322 156,661 469,984 234,992 117,496 58,748 29,374 14,687 44,062 22,031 66,094

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