λ
Harmonic Matrix

2,957,729

59 × 50131
Deficient Odd Composite

2,957,729 has digital root 5. The neighboring primes are 2957687 and 2957753; its proper-divisor sum differs from the starting integer by -2,907,538.

Prime Factor Structure

Factorization String 59 × 50131
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,007,920
Proper Divisor Sum 50,191
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2957687 ← → #2957753

Radix Representation

Decimal 2957729
Binary 1011010010000110100001 (22 bits)
Octal 0o13220641
Hexadecimal 0x2D21A1

Divisor Catalog (4)

1 59 50,131 2,957,729

Collatz Trajectory (120 steps to reach 1)

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

2,957,729 8,873,188 4,436,594 2,218,297 6,654,892 3,327,446 1,663,723 4,991,170 2,495,585 7,486,756 3,743,378 1,871,689 5,615,068 2,807,534 1,403,767 4,211,302 2,105,651 6,316,954 3,158,477 9,475,432 4,737,716 2,368,858 1,184,429 3,553,288 1,776,644 888,322 444,161 1,332,484 666,242 333,121 999,364 499,682 249,841 749,524 374,762 187,381 562,144 281,072 140,536 70,268 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376

More profiles

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