λ
Harmonic Matrix

3,624,637

3624637
Deficient Odd Prime

3,624,637 has digital root 4. The neighboring primes are 3624629 and 3624653; its proper-divisor sum differs from the starting integer by -3,624,636.

Prime Factor Structure

Factorization String 3624637
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,624,638
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3624629 ← → #3624653

Radix Representation

Decimal 3624637
Binary 1101110100111010111101 (22 bits)
Octal 0o15647275
Hexadecimal 0x374EBD

Divisor Catalog (2)

Collatz Trajectory (265 steps to reach 1)

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

3,624,637 10,873,912 5,436,956 2,718,478 1,359,239 4,077,718 2,038,859 6,116,578 3,058,289 9,174,868 4,587,434 2,293,717 6,881,152 3,440,576 1,720,288 860,144 430,072 215,036 107,518 53,759 161,278 80,639 241,918 120,959 362,878 181,439 544,318 272,159 816,478 408,239 1,224,718 612,359 1,837,078 918,539 2,755,618 1,377,809 4,133,428 2,066,714 1,033,357 3,100,072 1,550,036 775,018 387,509 1,162,528 581,264 290,632 145,316 72,658 36,329 108,988 54,494 27,247 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942

More profiles

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