λ
Harmonic Matrix

3,598,176

25 × 3 × 37 × 1013
Abundant Even Composite

3,598,176 has digital root 3. The neighboring primes are 3598157 and 3598211; its proper-divisor sum differs from the starting integer by 2,513,712.

Prime Factor Structure

Factorization String 2^5 × 3 × 37 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,710,064
Proper Divisor Sum 6,111,888
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3598157 ← → #3598211

Radix Representation

Decimal 3598176
Binary 1101101110011101100000 (22 bits)
Octal 0o15563540
Hexadecimal 0x36E760

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1,013 1,184 1,776 2,026 3,039 3,552 4,052 6,078 8,104 12,156 16,208 24,312 32,416 37,481 48,624 74,962 97,248 112,443 149,924 224,886 299,848 449,772 599,696 899,544 1,199,392 1,799,088 3,598,176

Collatz Trajectory (203 steps to reach 1)

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

3,598,176 1,799,088 899,544 449,772 224,886 112,443 337,330 168,665 505,996 252,998 126,499 379,498 189,749 569,248 284,624 142,312 71,156 35,578 17,789 53,368 26,684 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841

More profiles

← Previous Integer #3,598,175 Browse Full Index Next Integer #3,598,177 →