1,737,328

2⁴ × 23 × 4721

1,737,328 has digital root 4. The neighboring primes are 1737317 and 1737331; its proper-divisor sum differs from the starting integer by 38,512.

Prime Factor Structure

Factorization String 2^4 × 23 × 4721

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,513,168

Proper Divisor Sum 1,775,840

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1737317 ← → #1737331

Radix Representation

Decimal	1737328
Binary	110101000001001110000 (21 bits)
Octal	0o6501160
Hexadecimal	0x1A8270

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 4,721 9,442 18,884 37,768 75,536 108,583 217,166 434,332 868,664 1,737,328

Collatz Trajectory (189 steps to reach 1)

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

1,737,328 868,664 434,332 217,166 108,583 325,750 162,875 488,626 244,313 732,940 366,470 183,235 549,706 274,853 824,560 412,280 206,140 103,070 51,535 154,606 77,303 231,910 115,955 347,866 173,933 521,800 260,900 130,450 65,225 195,676 97,838 48,919 146,758 73,379 220,138 110,069 330,208 165,104 82,552 41,276 20,638 10,319 30,958 15,479 46,438 23,219 69,658 34,829 104,488 52,244 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837

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