1,529,764

2² × 281 × 1361

1,529,764 has digital root 7. The neighboring primes are 1529761 and 1529777; its proper-divisor sum differs from the starting integer by -370,940.

Prime Factor Structure

Factorization String 2^2 × 281 × 1361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,688,588

Proper Divisor Sum 1,158,824

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1529761 ← → #1529777

Radix Representation

Decimal	1529764
Binary	101110101011110100100 (21 bits)
Octal	0o5653644
Hexadecimal	0x1757A4

Divisor Catalog (12)

1 2 4 281 562 1,124 1,361 2,722 5,444 382,441 764,882 1,529,764

Collatz Trajectory (225 steps to reach 1)

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

1,529,764 764,882 382,441 1,147,324 573,662 286,831 860,494 430,247 1,290,742 645,371 1,936,114 968,057 2,904,172 1,452,086 726,043 2,178,130 1,089,065 3,267,196 1,633,598 816,799 2,450,398 1,225,199 3,675,598 1,837,799 5,513,398 2,756,699 8,270,098 4,135,049 12,405,148 6,202,574 3,101,287 9,303,862 4,651,931 13,955,794 6,977,897 20,933,692 10,466,846 5,233,423 15,700,270 7,850,135 23,550,406 11,775,203 35,325,610 17,662,805 52,988,416 26,494,208 13,247,104 6,623,552 3,311,776 1,655,888 827,944 413,972 206,986 103,493 310,480 155,240 77,620 38,810 19,405 58,216

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