λ
Harmonic Matrix

1,573,137

32 × 47 × 3719
Deficient Odd Composite

1,573,137 has digital root 9. The neighboring primes are 1573133 and 1573139; its proper-divisor sum differs from the starting integer by -824,994.

Prime Factor Structure

Factorization String 3^2 × 47 × 3719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,321,280
Proper Divisor Sum 748,143
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1573133 ← → #1573139

Radix Representation

Decimal 1573137
Binary 110000000000100010001 (21 bits)
Octal 0o6000421
Hexadecimal 0x180111

Divisor Catalog (12)

1 3 9 47 141 423 3,719 11,157 33,471 174,793 524,379 1,573,137

Collatz Trajectory (132 steps to reach 1)

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

1,573,137 4,719,412 2,359,706 1,179,853 3,539,560 1,769,780 884,890 442,445 1,327,336 663,668 331,834 165,917 497,752 248,876 124,438 62,219 186,658 93,329 279,988 139,994 69,997 209,992 104,996 52,498 26,249 78,748 39,374 19,687 59,062 29,531 88,594 44,297 132,892 66,446 33,223 99,670 49,835 149,506 74,753 224,260 112,130 56,065 168,196 84,098 42,049 126,148 63,074 31,537 94,612 47,306 23,653 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980

More profiles

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