1,783,977

3 × 13 × 149 × 307

1,783,977 factors as 3 × 13 × 149 × 307. Its 16 positive divisors give a proper-divisor sum of 803,223, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 13 × 149 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,587,200

Proper Divisor Sum 803,223

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1783937 ← → #1783981

Radix Representation

Decimal	1783977
Binary	110110011100010101001 (21 bits)
Octal	0o6634251
Hexadecimal	0x1B38A9

Divisor Catalog (16)

1 3 13 39 149 307 447 921 1,937 3,991 5,811 11,973 45,743 137,229 594,659 1,783,977

Collatz Trajectory (145 steps to reach 1)

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

1,783,977 5,351,932 2,675,966 1,337,983 4,013,950 2,006,975 6,020,926 3,010,463 9,031,390 4,515,695 13,547,086 6,773,543 20,320,630 10,160,315 30,480,946 15,240,473 45,721,420 22,860,710 11,430,355 34,291,066 17,145,533 51,436,600 25,718,300 12,859,150 6,429,575 19,288,726 9,644,363 28,933,090 14,466,545 43,399,636 21,699,818 10,849,909 32,549,728 16,274,864 8,137,432 4,068,716 2,034,358 1,017,179 3,051,538 1,525,769 4,577,308 2,288,654 1,144,327 3,432,982 1,716,491 5,149,474 2,574,737 7,724,212 3,862,106 1,931,053 5,793,160 2,896,580 1,448,290 724,145 2,172,436 1,086,218 543,109 1,629,328 814,664 407,332

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