λ
Harmonic Matrix

1,538,615

5 × 13 × 23671
Deficient Odd Composite

1,538,615 has digital root 2. The neighboring primes are 1538611 and 1538617; its proper-divisor sum differs from the starting integer by -1,088,782.

Prime Factor Structure

Factorization String 5 × 13 × 23671
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,988,448
Proper Divisor Sum 449,833
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1538611 ← → #1538617

Radix Representation

Decimal 1538615
Binary 101110111101000110111 (21 bits)
Octal 0o5675067
Hexadecimal 0x177A37

Divisor Catalog (8)

1 5 13 65 23,671 118,355 307,723 1,538,615

Collatz Trajectory (181 steps to reach 1)

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

1,538,615 4,615,846 2,307,923 6,923,770 3,461,885 10,385,656 5,192,828 2,596,414 1,298,207 3,894,622 1,947,311 5,841,934 2,920,967 8,762,902 4,381,451 13,144,354 6,572,177 19,716,532 9,858,266 4,929,133 14,787,400 7,393,700 3,696,850 1,848,425 5,545,276 2,772,638 1,386,319 4,158,958 2,079,479 6,238,438 3,119,219 9,357,658 4,678,829 14,036,488 7,018,244 3,509,122 1,754,561 5,263,684 2,631,842 1,315,921 3,947,764 1,973,882 986,941 2,960,824 1,480,412 740,206 370,103 1,110,310 555,155 1,665,466 832,733 2,498,200 1,249,100 624,550 312,275 936,826 468,413 1,405,240 702,620 351,310

More profiles

← Previous Integer #1,538,614 Browse Full Index Next Integer #1,538,616 →