λ
Integer Codex

1,007,536

24 × 62971
Deficient Even Composite

For 1,007,536, the 10 positive divisors have a total of 1,952,132. Removing 1,007,536 leaves 944,596, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 62971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,952,132
Proper Divisor Sum 944,596
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1007527 ← → #1007549

Radix Representation

Decimal 1007536
Binary 11110101111110110000 (20 bits)
Octal 0o3657660
Hexadecimal 0xF5FB0

Divisor Catalog (10)

1 2 4 8 16 62,971 125,942 251,884 503,768 1,007,536

Collatz Trajectory (134 steps to reach 1)

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

1,007,536 503,768 251,884 125,942 62,971 188,914 94,457 283,372 141,686 70,843 212,530 106,265 318,796 159,398 79,699 239,098 119,549 358,648 179,324 89,662 44,831 134,494 67,247 201,742 100,871 302,614 151,307 453,922 226,961 680,884 340,442 170,221 510,664 255,332 127,666 63,833 191,500 95,750 47,875 143,626 71,813 215,440 107,720 53,860 26,930 13,465 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392

More profiles

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