λ
Prime Ledger

978,401

17 × 67 × 859
Deficient Odd Composite

978,401 has the prime decomposition 17 × 67 × 859. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 67 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,052,640
Proper Divisor Sum 74,239
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #978389 ← → #978403

Radix Representation

Decimal 978401
Binary 11101110110111100001 (20 bits)
Octal 0o3566741
Hexadecimal 0xEEDE1

Divisor Catalog (8)

1 17 67 859 1,139 14,603 57,553 978,401

Collatz Trajectory (152 steps to reach 1)

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

978,401 2,935,204 1,467,602 733,801 2,201,404 1,100,702 550,351 1,651,054 825,527 2,476,582 1,238,291 3,714,874 1,857,437 5,572,312 2,786,156 1,393,078 696,539 2,089,618 1,044,809 3,134,428 1,567,214 783,607 2,350,822 1,175,411 3,526,234 1,763,117 5,289,352 2,644,676 1,322,338 661,169 1,983,508 991,754 495,877 1,487,632 743,816 371,908 185,954 92,977 278,932 139,466 69,733 209,200 104,600 52,300 26,150 13,075 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240

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