λ
Harmonic Matrix

1,741,508

22 × 29 × 15013
Deficient Even Composite

1,741,508 has digital root 8. The neighboring primes are 1741477 and 1741511; its proper-divisor sum differs from the starting integer by -330,076.

Prime Factor Structure

Factorization String 2^2 × 29 × 15013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,152,940
Proper Divisor Sum 1,411,432
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1741477 ← → #1741511

Radix Representation

Decimal 1741508
Binary 110101001001011000100 (21 bits)
Octal 0o6511304
Hexadecimal 0x1A92C4

Divisor Catalog (12)

1 2 4 29 58 116 15,013 30,026 60,052 435,377 870,754 1,741,508

Collatz Trajectory (189 steps to reach 1)

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

1,741,508 870,754 435,377 1,306,132 653,066 326,533 979,600 489,800 244,900 122,450 61,225 183,676 91,838 45,919 137,758 68,879 206,638 103,319 309,958 154,979 464,938 232,469 697,408 348,704 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056

More profiles

← Previous Integer #1,741,507 Browse Full Index Next Integer #1,741,509 →