λ
Harmonic Matrix

1,342,521

33 × 19 × 2617
Deficient Odd Composite

1,342,521 has digital root 9. The neighboring primes are 1342519 and 1342531; its proper-divisor sum differs from the starting integer by -590,642.

Prime Factor Structure

Factorization String 3^3 × 19 × 2617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,094,400
Proper Divisor Sum 751,879
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1342519 ← → #1342531

Radix Representation

Decimal 1342521
Binary 101000111110000111001 (21 bits)
Octal 0o5076071
Hexadecimal 0x147C39

Divisor Catalog (16)

1 3 9 19 27 57 171 513 2,617 7,851 23,553 49,723 70,659 149,169 447,507 1,342,521

Collatz Trajectory (98 steps to reach 1)

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

1,342,521 4,027,564 2,013,782 1,006,891 3,020,674 1,510,337 4,531,012 2,265,506 1,132,753 3,398,260 1,699,130 849,565 2,548,696 1,274,348 637,174 318,587 955,762 477,881 1,433,644 716,822 358,411 1,075,234 537,617 1,612,852 806,426 403,213 1,209,640 604,820 302,410 151,205 453,616 226,808 113,404 56,702 28,351 85,054 42,527 127,582 63,791 191,374 95,687 287,062 143,531 430,594 215,297 645,892 322,946 161,473 484,420 242,210 121,105 363,316 181,658 90,829 272,488 136,244 68,122 34,061 102,184 51,092

More profiles

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