2,590,464

2⁸ × 3 × 3373

2,590,464 has digital root 3. The neighboring primes are 2590463 and 2590493; its proper-divisor sum differs from the starting integer by 1,715,528.

Prime Factor Structure

Factorization String 2^8 × 3 × 3373

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,896,456

Proper Divisor Sum 4,305,992

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2590463 ← → #2590493

Radix Representation

Decimal	2590464
Binary	1001111000011100000000 (22 bits)
Octal	0o11703400
Hexadecimal	0x278700

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 3,373 6,746 10,119 13,492 20,238 26,984 40,476 53,968 80,952 107,936 161,904 215,872 323,808 431,744 647,616 863,488 1,295,232 2,590,464

Collatz Trajectory (81 steps to reach 1)

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

2,590,464 1,295,232 647,616 323,808 161,904 80,952 40,476 20,238 10,119 30,358 15,179 45,538 22,769 68,308 34,154 17,077 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77

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