λ
Harmonic Matrix

1,077,601

7 × 257 × 599
Deficient Odd Composite

1,077,601 has digital root 4. The neighboring primes are 1077599 and 1077607; its proper-divisor sum differs from the starting integer by -916,802.

Prime Factor Structure

Factorization String 7 × 257 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,238,400
Proper Divisor Sum 160,799
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1077599 ← → #1077607

Radix Representation

Decimal 1077601
Binary 100000111000101100001 (21 bits)
Octal 0o4070541
Hexadecimal 0x107161

Divisor Catalog (8)

1 7 257 599 1,799 4,193 153,943 1,077,601

Collatz Trajectory (240 steps to reach 1)

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

1,077,601 3,232,804 1,616,402 808,201 2,424,604 1,212,302 606,151 1,818,454 909,227 2,727,682 1,363,841 4,091,524 2,045,762 1,022,881 3,068,644 1,534,322 767,161 2,301,484 1,150,742 575,371 1,726,114 863,057 2,589,172 1,294,586 647,293 1,941,880 970,940 485,470 242,735 728,206 364,103 1,092,310 546,155 1,638,466 819,233 2,457,700 1,228,850 614,425 1,843,276 921,638 460,819 1,382,458 691,229 2,073,688 1,036,844 518,422 259,211 777,634 388,817 1,166,452 583,226 291,613 874,840 437,420 218,710 109,355 328,066 164,033 492,100 246,050

More profiles

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