1,722,763

7 × 17 × 31 × 467

1,722,763 factors as 7 × 17 × 31 × 467. Its 16 positive divisors give a proper-divisor sum of 433,781, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 7 × 17 × 31 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,156,544

Proper Divisor Sum 433,781

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1722751 ← → #1722793

Radix Representation

Decimal	1722763
Binary	110100100100110001011 (21 bits)
Octal	0o6444613
Hexadecimal	0x1A498B

Divisor Catalog (16)

1 7 17 31 119 217 467 527 3,269 3,689 7,939 14,477 55,573 101,339 246,109 1,722,763

Collatz Trajectory (101 steps to reach 1)

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

1,722,763 5,168,290 2,584,145 7,752,436 3,876,218 1,938,109 5,814,328 2,907,164 1,453,582 726,791 2,180,374 1,090,187 3,270,562 1,635,281 4,905,844 2,452,922 1,226,461 3,679,384 1,839,692 919,846 459,923 1,379,770 689,885 2,069,656 1,034,828 517,414 258,707 776,122 388,061 1,164,184 582,092 291,046 145,523 436,570 218,285 654,856 327,428 163,714 81,857 245,572 122,786 61,393 184,180 92,090 46,045 138,136 69,068 34,534 17,267 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928

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